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Finding the Third Proportional to 973,962,415 and 2,085,833,796

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Solution

The third proportional to 973,962,415 and 2,085,833,796 is: 4,467,012,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,962,415 : 2,085,833,796 = 2,085,833,796 : x
  2. Step 2: Convert to fraction form
    973,962,415/2,085,833,796 = 2,085,833,796/x
  3. Step 3: Cross multiply
    973,962,415x = 2,085,833,796 × 2,085,833,796
  4. Step 4: Simplify right side
    973,962,415x = 4,350,702,624,535,769,600
  5. Step 5: Solve for x
    x = 4,350,702,624,535,769,600/973,962,415
  6. Step 6: Final answer
    x = 4,467,012,851.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.