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Finding the Third Proportional to 4,781,912 and 10,319,488

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Solution

The third proportional to 4,781,912 and 10,319,488 is: 22,269,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781,912 : 10,319,488 = 10,319,488 : x
  2. Step 2: Convert to fraction form
    4,781,912/10,319,488 = 10,319,488/x
  3. Step 3: Cross multiply
    4,781,912x = 10,319,488 × 10,319,488
  4. Step 4: Simplify right side
    4,781,912x = 106,491,832,582,144
  5. Step 5: Solve for x
    x = 106,491,832,582,144/4,781,912
  6. Step 6: Final answer
    x = 22,269,718.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.