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Finding the Third Proportional to 237,822,939 and 363,842,529.75

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Solution

The third proportional to 237,822,939 and 363,842,529.75 is: 556,638,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,822,939 : 363,842,529.75 = 363,842,529.75 : x
  2. Step 2: Convert to fraction form
    237,822,939/363,842,529.75 = 363,842,529.75/x
  3. Step 3: Cross multiply
    237,822,939x = 363,842,529.75 × 363,842,529.75
  4. Step 4: Simplify right side
    237,822,939x = 132,381,386,454,879,632
  5. Step 5: Solve for x
    x = 132,381,386,454,879,632/237,822,939
  6. Step 6: Final answer
    x = 556,638,426.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.