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Finding the Third Proportional to 9,732,319.50 and 22,974,054

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Solution

The third proportional to 9,732,319.50 and 22,974,054 is: 54,232,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732,319.50 : 22,974,054 = 22,974,054 : x
  2. Step 2: Convert to fraction form
    9,732,319.50/22,974,054 = 22,974,054/x
  3. Step 3: Cross multiply
    9,732,319.50x = 22,974,054 × 22,974,054
  4. Step 4: Simplify right side
    9,732,319.50x = 527,807,157,194,916
  5. Step 5: Solve for x
    x = 527,807,157,194,916/9,732,319.50
  6. Step 6: Final answer
    x = 54,232,411.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.