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Finding the Third Proportional to 7,564,468 and 11,626,566

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Solution

The third proportional to 7,564,468 and 11,626,566 is: 17,869,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,468 : 11,626,566 = 11,626,566 : x
  2. Step 2: Convert to fraction form
    7,564,468/11,626,566 = 11,626,566/x
  3. Step 3: Cross multiply
    7,564,468x = 11,626,566 × 11,626,566
  4. Step 4: Simplify right side
    7,564,468x = 135,177,036,952,356
  5. Step 5: Solve for x
    x = 135,177,036,952,356/7,564,468
  6. Step 6: Final answer
    x = 17,869,999.18

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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.