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Finding the Third Proportional to 7,657,666 and 11,855,746

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Solution

The third proportional to 7,657,666 and 11,855,746 is: 18,355,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,666 : 11,855,746 = 11,855,746 : x
  2. Step 2: Convert to fraction form
    7,657,666/11,855,746 = 11,855,746/x
  3. Step 3: Cross multiply
    7,657,666x = 11,855,746 × 11,855,746
  4. Step 4: Simplify right side
    7,657,666x = 140,558,713,216,516
  5. Step 5: Solve for x
    x = 140,558,713,216,516/7,657,666
  6. Step 6: Final answer
    x = 18,355,294.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.