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Finding the Third Proportional to 3,564,940 and 7,698,078

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Solution

The third proportional to 3,564,940 and 7,698,078 is: 16,623,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,940 : 7,698,078 = 7,698,078 : x
  2. Step 2: Convert to fraction form
    3,564,940/7,698,078 = 7,698,078/x
  3. Step 3: Cross multiply
    3,564,940x = 7,698,078 × 7,698,078
  4. Step 4: Simplify right side
    3,564,940x = 59,260,404,894,084
  5. Step 5: Solve for x
    x = 59,260,404,894,084/3,564,940
  6. Step 6: Final answer
    x = 16,623,114.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.