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Finding the Third Proportional to 22,432,735 and 48,802,070

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Solution

The third proportional to 22,432,735 and 48,802,070 is: 106,168,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,735 : 48,802,070 = 48,802,070 : x
  2. Step 2: Convert to fraction form
    22,432,735/48,802,070 = 48,802,070/x
  3. Step 3: Cross multiply
    22,432,735x = 48,802,070 × 48,802,070
  4. Step 4: Simplify right side
    22,432,735x = 2,381,642,036,284,900
  5. Step 5: Solve for x
    x = 2,381,642,036,284,900/22,432,735
  6. Step 6: Final answer
    x = 106,168,152.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.