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Finding the Third Proportional to 10,085,490 and 15,138,558

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Solution

The third proportional to 10,085,490 and 15,138,558 is: 22,723,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085,490 : 15,138,558 = 15,138,558 : x
  2. Step 2: Convert to fraction form
    10,085,490/15,138,558 = 15,138,558/x
  3. Step 3: Cross multiply
    10,085,490x = 15,138,558 × 15,138,558
  4. Step 4: Simplify right side
    10,085,490x = 229,175,938,319,364
  5. Step 5: Solve for x
    x = 229,175,938,319,364/10,085,490
  6. Step 6: Final answer
    x = 22,723,332.07

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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.