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Finding the Third Proportional to 5,566,148,280 and 11,929,073,877

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Solution

The third proportional to 5,566,148,280 and 11,929,073,877 is: 25,565,758,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566,148,280 : 11,929,073,877 = 11,929,073,877 : x
  2. Step 2: Convert to fraction form
    5,566,148,280/11,929,073,877 = 11,929,073,877/x
  3. Step 3: Cross multiply
    5,566,148,280x = 11,929,073,877 × 11,929,073,877
  4. Step 4: Simplify right side
    5,566,148,280x = 142,302,803,562,923,819,008
  5. Step 5: Solve for x
    x = 142,302,803,562,923,819,008/5,566,148,280
  6. Step 6: Final answer
    x = 25,565,758,654.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.