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Finding the Third Proportional to 6,468,285.38 and 14,249,023.88

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Solution

The third proportional to 6,468,285.38 and 14,249,023.88 is: 31,389,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,285.38 : 14,249,023.88 = 14,249,023.88 : x
  2. Step 2: Convert to fraction form
    6,468,285.38/14,249,023.88 = 14,249,023.88/x
  3. Step 3: Cross multiply
    6,468,285.38x = 14,249,023.88 × 14,249,023.88
  4. Step 4: Simplify right side
    6,468,285.38x = 203,034,681,390,320
  5. Step 5: Solve for x
    x = 203,034,681,390,320/6,468,285.38
  6. Step 6: Final answer
    x = 31,389,258.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.