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Finding the Third Proportional to 48,606,646 and 114,740,566

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Solution

The third proportional to 48,606,646 and 114,740,566 is: 270,855,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606,646 : 114,740,566 = 114,740,566 : x
  2. Step 2: Convert to fraction form
    48,606,646/114,740,566 = 114,740,566/x
  3. Step 3: Cross multiply
    48,606,646x = 114,740,566 × 114,740,566
  4. Step 4: Simplify right side
    48,606,646x = 13,165,397,486,000,356
  5. Step 5: Solve for x
    x = 13,165,397,486,000,356/48,606,646
  6. Step 6: Final answer
    x = 270,855,913.12

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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.