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Finding the Third Proportional to 7,547,476 and 16,577,670

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Solution

The third proportional to 7,547,476 and 16,577,670 is: 36,412,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,476 : 16,577,670 = 16,577,670 : x
  2. Step 2: Convert to fraction form
    7,547,476/16,577,670 = 16,577,670/x
  3. Step 3: Cross multiply
    7,547,476x = 16,577,670 × 16,577,670
  4. Step 4: Simplify right side
    7,547,476x = 274,819,142,628,900
  5. Step 5: Solve for x
    x = 274,819,142,628,900/7,547,476
  6. Step 6: Final answer
    x = 36,412,059.16

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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.