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Finding the Third Proportional to 10,868,176.90 and 23,438,837.11

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Solution

The third proportional to 10,868,176.90 and 23,438,837.11 is: 50,549,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868,176.90 : 23,438,837.11 = 23,438,837.11 : x
  2. Step 2: Convert to fraction form
    10,868,176.90/23,438,837.11 = 23,438,837.11/x
  3. Step 3: Cross multiply
    10,868,176.90x = 23,438,837.11 × 23,438,837.11
  4. Step 4: Simplify right side
    10,868,176.90x = 549,379,085,039,814.62
  5. Step 5: Solve for x
    x = 549,379,085,039,814.62/10,868,176.90
  6. Step 6: Final answer
    x = 50,549,332.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.