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Finding the Third Proportional to 10,839,260 and 15,851,784

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Solution

The third proportional to 10,839,260 and 15,851,784 is: 23,182,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839,260 : 15,851,784 = 15,851,784 : x
  2. Step 2: Convert to fraction form
    10,839,260/15,851,784 = 15,851,784/x
  3. Step 3: Cross multiply
    10,839,260x = 15,851,784 × 15,851,784
  4. Step 4: Simplify right side
    10,839,260x = 251,279,055,982,656
  5. Step 5: Solve for x
    x = 251,279,055,982,656/10,839,260
  6. Step 6: Final answer
    x = 23,182,307.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.