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Finding the Third Proportional to 12,760,924 and 19,614,464

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Solution

The third proportional to 12,760,924 and 19,614,464 is: 30,148,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760,924 : 19,614,464 = 19,614,464 : x
  2. Step 2: Convert to fraction form
    12,760,924/19,614,464 = 19,614,464/x
  3. Step 3: Cross multiply
    12,760,924x = 19,614,464 × 19,614,464
  4. Step 4: Simplify right side
    12,760,924x = 384,727,198,007,296
  5. Step 5: Solve for x
    x = 384,727,198,007,296/12,760,924
  6. Step 6: Final answer
    x = 30,148,851.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.