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Finding the Third Proportional to 315,107,748 and 506,290,454

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Solution

The third proportional to 315,107,748 and 506,290,454 is: 813,467,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107,748 : 506,290,454 = 506,290,454 : x
  2. Step 2: Convert to fraction form
    315,107,748/506,290,454 = 506,290,454/x
  3. Step 3: Cross multiply
    315,107,748x = 506,290,454 × 506,290,454
  4. Step 4: Simplify right side
    315,107,748x = 256,330,023,811,526,112
  5. Step 5: Solve for x
    x = 256,330,023,811,526,112/315,107,748
  6. Step 6: Final answer
    x = 813,467,854.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.