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Finding the Third Proportional to 716,640,263,062.90 and 1,572,025,772,503.90

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Solution

The third proportional to 716,640,263,062.90 and 1,572,025,772,503.90 is: 3,448,403,832,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,640,263,062.90 : 1,572,025,772,503.90 = 1,572,025,772,503.90 : x
  2. Step 2: Convert to fraction form
    716,640,263,062.90/1,572,025,772,503.90 = 1,572,025,772,503.90/x
  3. Step 3: Cross multiply
    716,640,263,062.90x = 1,572,025,772,503.90 × 1,572,025,772,503.90
  4. Step 4: Simplify right side
    716,640,263,062.90x = 2,471,265,029,416,483,324,690,432
  5. Step 5: Solve for x
    x = 2,471,265,029,416,483,324,690,432/716,640,263,062.90
  6. Step 6: Final answer
    x = 3,448,403,832,146.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.