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Finding the Third Proportional to 486,855,460.50 and 1,148,140,344

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Solution

The third proportional to 486,855,460.50 and 1,148,140,344 is: 2,707,633,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,855,460.50 : 1,148,140,344 = 1,148,140,344 : x
  2. Step 2: Convert to fraction form
    486,855,460.50/1,148,140,344 = 1,148,140,344/x
  3. Step 3: Cross multiply
    486,855,460.50x = 1,148,140,344 × 1,148,140,344
  4. Step 4: Simplify right side
    486,855,460.50x = 1,318,226,249,520,438,272
  5. Step 5: Solve for x
    x = 1,318,226,249,520,438,272/486,855,460.50
  6. Step 6: Final answer
    x = 2,707,633,695.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.