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Finding the Third Proportional to 22,547,384 and 48,283,412

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Solution

The third proportional to 22,547,384 and 48,283,412 is: 103,395,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547,384 : 48,283,412 = 48,283,412 : x
  2. Step 2: Convert to fraction form
    22,547,384/48,283,412 = 48,283,412/x
  3. Step 3: Cross multiply
    22,547,384x = 48,283,412 × 48,283,412
  4. Step 4: Simplify right side
    22,547,384x = 2,331,287,874,361,744
  5. Step 5: Solve for x
    x = 2,331,287,874,361,744/22,547,384
  6. Step 6: Final answer
    x = 103,395,049.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.