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Finding the Third Proportional to 121,226,776 and 265,923,680

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Solution

The third proportional to 121,226,776 and 265,923,680 is: 583,331,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,226,776 : 265,923,680 = 265,923,680 : x
  2. Step 2: Convert to fraction form
    121,226,776/265,923,680 = 265,923,680/x
  3. Step 3: Cross multiply
    121,226,776x = 265,923,680 × 265,923,680
  4. Step 4: Simplify right side
    121,226,776x = 70,715,403,584,742,400
  5. Step 5: Solve for x
    x = 70,715,403,584,742,400/121,226,776
  6. Step 6: Final answer
    x = 583,331,553.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.