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Finding the Third Proportional to 747,427,799 and 1,635,615,495

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Solution

The third proportional to 747,427,799 and 1,635,615,495 is: 3,579,259,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,427,799 : 1,635,615,495 = 1,635,615,495 : x
  2. Step 2: Convert to fraction form
    747,427,799/1,635,615,495 = 1,635,615,495/x
  3. Step 3: Cross multiply
    747,427,799x = 1,635,615,495 × 1,635,615,495
  4. Step 4: Simplify right side
    747,427,799x = 2,675,238,047,484,094,976
  5. Step 5: Solve for x
    x = 2,675,238,047,484,094,976/747,427,799
  6. Step 6: Final answer
    x = 3,579,259,496.45

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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.