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Finding the Third Proportional to 7,547,486 and 16,577,704

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Solution

The third proportional to 7,547,486 and 16,577,704 is: 36,412,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,486 : 16,577,704 = 16,577,704 : x
  2. Step 2: Convert to fraction form
    7,547,486/16,577,704 = 16,577,704/x
  3. Step 3: Cross multiply
    7,547,486x = 16,577,704 × 16,577,704
  4. Step 4: Simplify right side
    7,547,486x = 274,820,269,911,616
  5. Step 5: Solve for x
    x = 274,820,269,911,616/7,547,486
  6. Step 6: Final answer
    x = 36,412,160.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.