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Finding the Third Proportional to 22,351,469 and 34,176,823.50

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Solution

The third proportional to 22,351,469 and 34,176,823.50 is: 52,258,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351,469 : 34,176,823.50 = 34,176,823.50 : x
  2. Step 2: Convert to fraction form
    22,351,469/34,176,823.50 = 34,176,823.50/x
  3. Step 3: Cross multiply
    22,351,469x = 34,176,823.50 × 34,176,823.50
  4. Step 4: Simplify right side
    22,351,469x = 1,168,055,264,550,152.25
  5. Step 5: Solve for x
    x = 1,168,055,264,550,152.25/22,351,469
  6. Step 6: Final answer
    x = 52,258,545.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.