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Finding the Third Proportional to 37,146,733 and 78,053,594

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Solution

The third proportional to 37,146,733 and 78,053,594 is: 164,008,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,146,733 : 78,053,594 = 78,053,594 : x
  2. Step 2: Convert to fraction form
    37,146,733/78,053,594 = 78,053,594/x
  3. Step 3: Cross multiply
    37,146,733x = 78,053,594 × 78,053,594
  4. Step 4: Simplify right side
    37,146,733x = 6,092,363,536,316,836
  5. Step 5: Solve for x
    x = 6,092,363,536,316,836/37,146,733
  6. Step 6: Final answer
    x = 164,008,057.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.