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Finding the Third Proportional to 10,402,756.59 and 16,567,326.14

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Solution

The third proportional to 10,402,756.59 and 16,567,326.14 is: 26,384,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,756.59 : 16,567,326.14 = 16,567,326.14 : x
  2. Step 2: Convert to fraction form
    10,402,756.59/16,567,326.14 = 16,567,326.14/x
  3. Step 3: Cross multiply
    10,402,756.59x = 16,567,326.14 × 16,567,326.14
  4. Step 4: Simplify right side
    10,402,756.59x = 274,476,295,449,836.47
  5. Step 5: Solve for x
    x = 274,476,295,449,836.47/10,402,756.59
  6. Step 6: Final answer
    x = 26,384,957.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.