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Finding the Third Proportional to 9,635,490,000 and 14,730,177,969

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Solution

The third proportional to 9,635,490,000 and 14,730,177,969 is: 22,518,641,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,490,000 : 14,730,177,969 = 14,730,177,969 : x
  2. Step 2: Convert to fraction form
    9,635,490,000/14,730,177,969 = 14,730,177,969/x
  3. Step 3: Cross multiply
    9,635,490,000x = 14,730,177,969 × 14,730,177,969
  4. Step 4: Simplify right side
    9,635,490,000x = 216,978,142,998,412,951,552
  5. Step 5: Solve for x
    x = 216,978,142,998,412,951,552/9,635,490,000
  6. Step 6: Final answer
    x = 22,518,641,293.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.