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Finding the Third Proportional to 6,283,872.84 and 13,559,720.63

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Solution

The third proportional to 6,283,872.84 and 13,559,720.63 is: 29,259,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,872.84 : 13,559,720.63 = 13,559,720.63 : x
  2. Step 2: Convert to fraction form
    6,283,872.84/13,559,720.63 = 13,559,720.63/x
  3. Step 3: Cross multiply
    6,283,872.84x = 13,559,720.63 × 13,559,720.63
  4. Step 4: Simplify right side
    6,283,872.84x = 183,866,023,428,050.38
  5. Step 5: Solve for x
    x = 183,866,023,428,050.38/6,283,872.84
  6. Step 6: Final answer
    x = 29,259,984.73

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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.