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Finding the Third Proportional to 681,916,712 and 1,470,273,424

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Solution

The third proportional to 681,916,712 and 1,470,273,424 is: 3,170,041,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,916,712 : 1,470,273,424 = 1,470,273,424 : x
  2. Step 2: Convert to fraction form
    681,916,712/1,470,273,424 = 1,470,273,424/x
  3. Step 3: Cross multiply
    681,916,712x = 1,470,273,424 × 1,470,273,424
  4. Step 4: Simplify right side
    681,916,712x = 2,161,703,941,320,683,776
  5. Step 5: Solve for x
    x = 2,161,703,941,320,683,776/681,916,712
  6. Step 6: Final answer
    x = 3,170,041,008.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.