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Finding the Third Proportional to 23,023,901 and 34,500,382

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Solution

The third proportional to 23,023,901 and 34,500,382 is: 51,697,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023,901 : 34,500,382 = 34,500,382 : x
  2. Step 2: Convert to fraction form
    23,023,901/34,500,382 = 34,500,382/x
  3. Step 3: Cross multiply
    23,023,901x = 34,500,382 × 34,500,382
  4. Step 4: Simplify right side
    23,023,901x = 1,190,276,358,145,924
  5. Step 5: Solve for x
    x = 1,190,276,358,145,924/23,023,901
  6. Step 6: Final answer
    x = 51,697,423.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.