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Finding the Third Proportional to 24,781,989 and 53,682,714.38

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Solution

The third proportional to 24,781,989 and 53,682,714.38 is: 116,287,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781,989 : 53,682,714.38 = 53,682,714.38 : x
  2. Step 2: Convert to fraction form
    24,781,989/53,682,714.38 = 53,682,714.38/x
  3. Step 3: Cross multiply
    24,781,989x = 53,682,714.38 × 53,682,714.38
  4. Step 4: Simplify right side
    24,781,989x = 2,881,833,822,667,831.50
  5. Step 5: Solve for x
    x = 2,881,833,822,667,831.50/24,781,989
  6. Step 6: Final answer
    x = 116,287,430.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.