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Finding the Third Proportional to 56,069,514 and 81,975,590.25

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Solution

The third proportional to 56,069,514 and 81,975,590.25 is: 119,851,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,069,514 : 81,975,590.25 = 81,975,590.25 : x
  2. Step 2: Convert to fraction form
    56,069,514/81,975,590.25 = 81,975,590.25/x
  3. Step 3: Cross multiply
    56,069,514x = 81,975,590.25 × 81,975,590.25
  4. Step 4: Simplify right side
    56,069,514x = 6,719,997,396,835,895
  5. Step 5: Solve for x
    x = 6,719,997,396,835,895/56,069,514
  6. Step 6: Final answer
    x = 119,851,179.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.