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Finding the Third Proportional to 716,640,263,061.90 and 1,572,025,772,502.30

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Solution

The third proportional to 716,640,263,061.90 and 1,572,025,772,502.30 is: 3,448,403,832,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,640,263,061.90 : 1,572,025,772,502.30 = 1,572,025,772,502.30 : x
  2. Step 2: Convert to fraction form
    716,640,263,061.90/1,572,025,772,502.30 = 1,572,025,772,502.30/x
  3. Step 3: Cross multiply
    716,640,263,061.90x = 1,572,025,772,502.30 × 1,572,025,772,502.30
  4. Step 4: Simplify right side
    716,640,263,061.90x = 2,471,265,029,411,453,381,115,904
  5. Step 5: Solve for x
    x = 2,471,265,029,411,453,381,115,904/716,640,263,061.90
  6. Step 6: Final answer
    x = 3,448,403,832,144.16

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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.