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Finding the Third Proportional to 6,283,818 and 9,830,082

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Solution

The third proportional to 6,283,818 and 9,830,082 is: 15,377,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,818 : 9,830,082 = 9,830,082 : x
  2. Step 2: Convert to fraction form
    6,283,818/9,830,082 = 9,830,082/x
  3. Step 3: Cross multiply
    6,283,818x = 9,830,082 × 9,830,082
  4. Step 4: Simplify right side
    6,283,818x = 96,630,512,126,724
  5. Step 5: Solve for x
    x = 96,630,512,126,724/6,283,818
  6. Step 6: Final answer
    x = 15,377,675.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.