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Finding the Third Proportional to 22,547,536 and 48,283,711

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Solution

The third proportional to 22,547,536 and 48,283,711 is: 103,395,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547,536 : 48,283,711 = 48,283,711 : x
  2. Step 2: Convert to fraction form
    22,547,536/48,283,711 = 48,283,711/x
  3. Step 3: Cross multiply
    22,547,536x = 48,283,711 × 48,283,711
  4. Step 4: Simplify right side
    22,547,536x = 2,331,316,747,931,521
  5. Step 5: Solve for x
    x = 2,331,316,747,931,521/22,547,536
  6. Step 6: Final answer
    x = 103,395,632.58

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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.