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Finding the Third Proportional to 51,040,671 and 112,001,572

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Solution

The third proportional to 51,040,671 and 112,001,572 is: 245,771,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040,671 : 112,001,572 = 112,001,572 : x
  2. Step 2: Convert to fraction form
    51,040,671/112,001,572 = 112,001,572/x
  3. Step 3: Cross multiply
    51,040,671x = 112,001,572 × 112,001,572
  4. Step 4: Simplify right side
    51,040,671x = 12,544,352,130,471,184
  5. Step 5: Solve for x
    x = 12,544,352,130,471,184/51,040,671
  6. Step 6: Final answer
    x = 245,771,693.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.