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Finding the Third Proportional to 10,283,513,214 and 14,481,452,649

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Solution

The third proportional to 10,283,513,214 and 14,481,452,649 is: 20,393,076,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283,513,214 : 14,481,452,649 = 14,481,452,649 : x
  2. Step 2: Convert to fraction form
    10,283,513,214/14,481,452,649 = 14,481,452,649/x
  3. Step 3: Cross multiply
    10,283,513,214x = 14,481,452,649 × 14,481,452,649
  4. Step 4: Simplify right side
    10,283,513,214x = 209,712,470,825,229,123,584
  5. Step 5: Solve for x
    x = 209,712,470,825,229,123,584/10,283,513,214
  6. Step 6: Final answer
    x = 20,393,076,418.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.