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Finding the Third Proportional to 616,753,177.50 and 1,346,524,985.50

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Solution

The third proportional to 616,753,177.50 and 1,346,524,985.50 is: 2,939,797,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,753,177.50 : 1,346,524,985.50 = 1,346,524,985.50 : x
  2. Step 2: Convert to fraction form
    616,753,177.50/1,346,524,985.50 = 1,346,524,985.50/x
  3. Step 3: Cross multiply
    616,753,177.50x = 1,346,524,985.50 × 1,346,524,985.50
  4. Step 4: Simplify right side
    616,753,177.50x = 1,813,129,536,575,775,232
  5. Step 5: Solve for x
    x = 1,813,129,536,575,775,232/616,753,177.50
  6. Step 6: Final answer
    x = 2,939,797,641.46

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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.