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Finding the Third Proportional to 4,927,829,721,351 and 7,244,128,294,814.90

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Solution

The third proportional to 4,927,829,721,351 and 7,244,128,294,814.90 is: 10,649,189,951,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927,829,721,351 : 7,244,128,294,814.90 = 7,244,128,294,814.90 : x
  2. Step 2: Convert to fraction form
    4,927,829,721,351/7,244,128,294,814.90 = 7,244,128,294,814.90/x
  3. Step 3: Cross multiply
    4,927,829,721,351x = 7,244,128,294,814.90 × 7,244,128,294,814.90
  4. Step 4: Simplify right side
    4,927,829,721,351x = 52,477,394,751,737,834,472,734,720
  5. Step 5: Solve for x
    x = 52,477,394,751,737,834,472,734,720/4,927,829,721,351
  6. Step 6: Final answer
    x = 10,649,189,951,585.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.