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Finding the Third Proportional to 22,533,282 and 48,658,590

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Solution

The third proportional to 22,533,282 and 48,658,590 is: 105,073,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533,282 : 48,658,590 = 48,658,590 : x
  2. Step 2: Convert to fraction form
    22,533,282/48,658,590 = 48,658,590/x
  3. Step 3: Cross multiply
    22,533,282x = 48,658,590 × 48,658,590
  4. Step 4: Simplify right side
    22,533,282x = 2,367,658,380,788,100
  5. Step 5: Solve for x
    x = 2,367,658,380,788,100/22,533,282
  6. Step 6: Final answer
    x = 105,073,836.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.