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Finding the Third Proportional to 299,299,632 and 643,155,712

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Solution

The third proportional to 299,299,632 and 643,155,712 is: 1,382,057,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,299,632 : 643,155,712 = 643,155,712 : x
  2. Step 2: Convert to fraction form
    299,299,632/643,155,712 = 643,155,712/x
  3. Step 3: Cross multiply
    299,299,632x = 643,155,712 × 643,155,712
  4. Step 4: Simplify right side
    299,299,632x = 413,649,269,878,226,944
  5. Step 5: Solve for x
    x = 413,649,269,878,226,944/299,299,632
  6. Step 6: Final answer
    x = 1,382,057,395.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.