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Finding the Third Proportional to 4,539,953,409 and 6,390,468,917.25

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Solution

The third proportional to 4,539,953,409 and 6,390,468,917.25 is: 8,995,266,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539,953,409 : 6,390,468,917.25 = 6,390,468,917.25 : x
  2. Step 2: Convert to fraction form
    4,539,953,409/6,390,468,917.25 = 6,390,468,917.25/x
  3. Step 3: Cross multiply
    4,539,953,409x = 6,390,468,917.25 × 6,390,468,917.25
  4. Step 4: Simplify right side
    4,539,953,409x = 40,838,092,982,338,387,968
  5. Step 5: Solve for x
    x = 40,838,092,982,338,387,968/4,539,953,409
  6. Step 6: Final answer
    x = 8,995,266,978.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.