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Finding the Third Proportional to 29,428,693.88 and 68,736,829.50

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Solution

The third proportional to 29,428,693.88 and 68,736,829.50 is: 160,549,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428,693.88 : 68,736,829.50 = 68,736,829.50 : x
  2. Step 2: Convert to fraction form
    29,428,693.88/68,736,829.50 = 68,736,829.50/x
  3. Step 3: Cross multiply
    29,428,693.88x = 68,736,829.50 × 68,736,829.50
  4. Step 4: Simplify right side
    29,428,693.88x = 4,724,751,729,712,070
  5. Step 5: Solve for x
    x = 4,724,751,729,712,070/29,428,693.88
  6. Step 6: Final answer
    x = 160,549,148.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.