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Finding the Third Proportional to 37,832,501 and 78,684,421

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Solution

The third proportional to 37,832,501 and 78,684,421 is: 163,648,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832,501 : 78,684,421 = 78,684,421 : x
  2. Step 2: Convert to fraction form
    37,832,501/78,684,421 = 78,684,421/x
  3. Step 3: Cross multiply
    37,832,501x = 78,684,421 × 78,684,421
  4. Step 4: Simplify right side
    37,832,501x = 6,191,238,108,105,241
  5. Step 5: Solve for x
    x = 6,191,238,108,105,241/37,832,501
  6. Step 6: Final answer
    x = 163,648,660.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.