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Finding the Third Proportional to 10,852,518.38 and 22,598,152.88

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Solution

The third proportional to 10,852,518.38 and 22,598,152.88 is: 47,056,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852,518.38 : 22,598,152.88 = 22,598,152.88 : x
  2. Step 2: Convert to fraction form
    10,852,518.38/22,598,152.88 = 22,598,152.88/x
  3. Step 3: Cross multiply
    10,852,518.38x = 22,598,152.88 × 22,598,152.88
  4. Step 4: Simplify right side
    10,852,518.38x = 510,676,513,361,870.75
  5. Step 5: Solve for x
    x = 510,676,513,361,870.75/10,852,518.38
  6. Step 6: Final answer
    x = 47,056,037.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.