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Finding the Third Proportional to 7,564,371 and 16,389,030

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Solution

The third proportional to 7,564,371 and 16,389,030 is: 35,508,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,371 : 16,389,030 = 16,389,030 : x
  2. Step 2: Convert to fraction form
    7,564,371/16,389,030 = 16,389,030/x
  3. Step 3: Cross multiply
    7,564,371x = 16,389,030 × 16,389,030
  4. Step 4: Simplify right side
    7,564,371x = 268,600,304,340,900
  5. Step 5: Solve for x
    x = 268,600,304,340,900/7,564,371
  6. Step 6: Final answer
    x = 35,508,610.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.