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Finding the Third Proportional to 6,862,352 and 9,148,764

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Solution

The third proportional to 6,862,352 and 9,148,764 is: 12,196,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,352 : 9,148,764 = 9,148,764 : x
  2. Step 2: Convert to fraction form
    6,862,352/9,148,764 = 9,148,764/x
  3. Step 3: Cross multiply
    6,862,352x = 9,148,764 × 9,148,764
  4. Step 4: Simplify right side
    6,862,352x = 83,699,882,727,696
  5. Step 5: Solve for x
    x = 83,699,882,727,696/6,862,352
  6. Step 6: Final answer
    x = 12,196,967.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.