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Finding the Third Proportional to 10,645,083 and 16,677,169.88

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Solution

The third proportional to 10,645,083 and 16,677,169.88 is: 26,127,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645,083 : 16,677,169.88 = 16,677,169.88 : x
  2. Step 2: Convert to fraction form
    10,645,083/16,677,169.88 = 16,677,169.88/x
  3. Step 3: Cross multiply
    10,645,083x = 16,677,169.88 × 16,677,169.88
  4. Step 4: Simplify right side
    10,645,083x = 278,127,995,039,607.50
  5. Step 5: Solve for x
    x = 278,127,995,039,607.50/10,645,083
  6. Step 6: Final answer
    x = 26,127,367.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.