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Finding the Third Proportional to 2,575,414,730 and 5,578,681,560

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Solution

The third proportional to 2,575,414,730 and 5,578,681,560 is: 12,084,146,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,414,730 : 5,578,681,560 = 5,578,681,560 : x
  2. Step 2: Convert to fraction form
    2,575,414,730/5,578,681,560 = 5,578,681,560/x
  3. Step 3: Cross multiply
    2,575,414,730x = 5,578,681,560 × 5,578,681,560
  4. Step 4: Simplify right side
    2,575,414,730x = 31,121,687,947,884,032,000
  5. Step 5: Solve for x
    x = 31,121,687,947,884,032,000/2,575,414,730
  6. Step 6: Final answer
    x = 12,084,146,132.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.