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Finding the Third Proportional to 72,678,791 and 111,712,490

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Solution

The third proportional to 72,678,791 and 111,712,490 is: 171,710,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678,791 : 111,712,490 = 111,712,490 : x
  2. Step 2: Convert to fraction form
    72,678,791/111,712,490 = 111,712,490/x
  3. Step 3: Cross multiply
    72,678,791x = 111,712,490 × 111,712,490
  4. Step 4: Simplify right side
    72,678,791x = 12,479,680,422,000,100
  5. Step 5: Solve for x
    x = 12,479,680,422,000,100/72,678,791
  6. Step 6: Final answer
    x = 171,710,071.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.