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Finding the Third Proportional to 24,714,290 and 51,147,076

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Solution

The third proportional to 24,714,290 and 51,147,076 is: 105,850,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714,290 : 51,147,076 = 51,147,076 : x
  2. Step 2: Convert to fraction form
    24,714,290/51,147,076 = 51,147,076/x
  3. Step 3: Cross multiply
    24,714,290x = 51,147,076 × 51,147,076
  4. Step 4: Simplify right side
    24,714,290x = 2,616,023,383,349,776
  5. Step 5: Solve for x
    x = 2,616,023,383,349,776/24,714,290
  6. Step 6: Final answer
    x = 105,850,638.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.