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Finding the Third Proportional to 730,775,068 and 1,724,498,384

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Solution

The third proportional to 730,775,068 and 1,724,498,384 is: 4,069,507,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,775,068 : 1,724,498,384 = 1,724,498,384 : x
  2. Step 2: Convert to fraction form
    730,775,068/1,724,498,384 = 1,724,498,384/x
  3. Step 3: Cross multiply
    730,775,068x = 1,724,498,384 × 1,724,498,384
  4. Step 4: Simplify right side
    730,775,068x = 2,973,894,676,418,611,200
  5. Step 5: Solve for x
    x = 2,973,894,676,418,611,200/730,775,068
  6. Step 6: Final answer
    x = 4,069,507,577.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.