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Finding the Third Proportional to 10,767,166.38 and 16,549,880.44

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Solution

The third proportional to 10,767,166.38 and 16,549,880.44 is: 25,438,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,166.38 : 16,549,880.44 = 16,549,880.44 : x
  2. Step 2: Convert to fraction form
    10,767,166.38/16,549,880.44 = 16,549,880.44/x
  3. Step 3: Cross multiply
    10,767,166.38x = 16,549,880.44 × 16,549,880.44
  4. Step 4: Simplify right side
    10,767,166.38x = 273,898,542,495,545.19
  5. Step 5: Solve for x
    x = 273,898,542,495,545.19/10,767,166.38
  6. Step 6: Final answer
    x = 25,438,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.