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Finding the Third Proportional to 37,146,738 and 78,053,602

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Solution

The third proportional to 37,146,738 and 78,053,602 is: 164,008,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,146,738 : 78,053,602 = 78,053,602 : x
  2. Step 2: Convert to fraction form
    37,146,738/78,053,602 = 78,053,602/x
  3. Step 3: Cross multiply
    37,146,738x = 78,053,602 × 78,053,602
  4. Step 4: Simplify right side
    37,146,738x = 6,092,364,785,174,404
  5. Step 5: Solve for x
    x = 6,092,364,785,174,404/37,146,738
  6. Step 6: Final answer
    x = 164,008,069.43

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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.