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Finding the Third Proportional to 2,849,581,728 and 4,359,121,296

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Solution

The third proportional to 2,849,581,728 and 4,359,121,296 is: 6,668,325,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849,581,728 : 4,359,121,296 = 4,359,121,296 : x
  2. Step 2: Convert to fraction form
    2,849,581,728/4,359,121,296 = 4,359,121,296/x
  3. Step 3: Cross multiply
    2,849,581,728x = 4,359,121,296 × 4,359,121,296
  4. Step 4: Simplify right side
    2,849,581,728x = 19,001,938,473,240,719,360
  5. Step 5: Solve for x
    x = 19,001,938,473,240,719,360/2,849,581,728
  6. Step 6: Final answer
    x = 6,668,325,490.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.