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Finding the Third Proportional to 1,438,022,598 and 3,098,187,804

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Solution

The third proportional to 1,438,022,598 and 3,098,187,804 is: 6,674,976,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,022,598 : 3,098,187,804 = 3,098,187,804 : x
  2. Step 2: Convert to fraction form
    1,438,022,598/3,098,187,804 = 3,098,187,804/x
  3. Step 3: Cross multiply
    1,438,022,598x = 3,098,187,804 × 3,098,187,804
  4. Step 4: Simplify right side
    1,438,022,598x = 9,598,767,668,854,341,632
  5. Step 5: Solve for x
    x = 9,598,767,668,854,341,632/1,438,022,598
  6. Step 6: Final answer
    x = 6,674,976,931.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.