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Finding the Third Proportional to 7,506,634 and 16,402,766

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Solution

The third proportional to 7,506,634 and 16,402,766 is: 35,841,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506,634 : 16,402,766 = 16,402,766 : x
  2. Step 2: Convert to fraction form
    7,506,634/16,402,766 = 16,402,766/x
  3. Step 3: Cross multiply
    7,506,634x = 16,402,766 × 16,402,766
  4. Step 4: Simplify right side
    7,506,634x = 269,050,732,450,756
  5. Step 5: Solve for x
    x = 269,050,732,450,756/7,506,634
  6. Step 6: Final answer
    x = 35,841,727.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.