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Finding the Third Proportional to 9,307,536 and 14,301,540

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Solution

The third proportional to 9,307,536 and 14,301,540 is: 21,975,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,536 : 14,301,540 = 14,301,540 : x
  2. Step 2: Convert to fraction form
    9,307,536/14,301,540 = 14,301,540/x
  3. Step 3: Cross multiply
    9,307,536x = 14,301,540 × 14,301,540
  4. Step 4: Simplify right side
    9,307,536x = 204,534,046,371,600
  5. Step 5: Solve for x
    x = 204,534,046,371,600/9,307,536
  6. Step 6: Final answer
    x = 21,975,101.29

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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.