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Finding the Third Proportional to 730,966,729 and 1,595,881,463

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Solution

The third proportional to 730,966,729 and 1,595,881,463 is: 3,484,204,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,966,729 : 1,595,881,463 = 1,595,881,463 : x
  2. Step 2: Convert to fraction form
    730,966,729/1,595,881,463 = 1,595,881,463/x
  3. Step 3: Cross multiply
    730,966,729x = 1,595,881,463 × 1,595,881,463
  4. Step 4: Simplify right side
    730,966,729x = 2,546,837,643,947,020,288
  5. Step 5: Solve for x
    x = 2,546,837,643,947,020,288/730,966,729
  6. Step 6: Final answer
    x = 3,484,204,605.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.