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Finding the Third Proportional to 10,819,428 and 22,846,080

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Solution

The third proportional to 10,819,428 and 22,846,080 is: 48,241,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819,428 : 22,846,080 = 22,846,080 : x
  2. Step 2: Convert to fraction form
    10,819,428/22,846,080 = 22,846,080/x
  3. Step 3: Cross multiply
    10,819,428x = 22,846,080 × 22,846,080
  4. Step 4: Simplify right side
    10,819,428x = 521,943,371,366,400
  5. Step 5: Solve for x
    x = 521,943,371,366,400/10,819,428
  6. Step 6: Final answer
    x = 48,241,309.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.