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Finding the Third Proportional to 68,877,648,035 and 106,942,864,951.50

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Solution

The third proportional to 68,877,648,035 and 106,942,864,951.50 is: 166,044,815,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,877,648,035 : 106,942,864,951.50 = 106,942,864,951.50 : x
  2. Step 2: Convert to fraction form
    68,877,648,035/106,942,864,951.50 = 106,942,864,951.50/x
  3. Step 3: Cross multiply
    68,877,648,035x = 106,942,864,951.50 × 106,942,864,951.50
  4. Step 4: Simplify right side
    68,877,648,035x = 11,436,776,364,034,767,192,064
  5. Step 5: Solve for x
    x = 11,436,776,364,034,767,192,064/68,877,648,035
  6. Step 6: Final answer
    x = 166,044,815,557.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.