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Finding the Third Proportional to 1,382,771,992 and 3,041,354,082

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Solution

The third proportional to 1,382,771,992 and 3,041,354,082 is: 6,689,341,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,771,992 : 3,041,354,082 = 3,041,354,082 : x
  2. Step 2: Convert to fraction form
    1,382,771,992/3,041,354,082 = 3,041,354,082/x
  3. Step 3: Cross multiply
    1,382,771,992x = 3,041,354,082 × 3,041,354,082
  4. Step 4: Simplify right side
    1,382,771,992x = 9,249,834,652,098,062,336
  5. Step 5: Solve for x
    x = 9,249,834,652,098,062,336/1,382,771,992
  6. Step 6: Final answer
    x = 6,689,341,920.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.