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Finding the Third Proportional to 684,001,194 and 1,435,187,028

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Solution

The third proportional to 684,001,194 and 1,435,187,028 is: 3,011,342,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,001,194 : 1,435,187,028 = 1,435,187,028 : x
  2. Step 2: Convert to fraction form
    684,001,194/1,435,187,028 = 1,435,187,028/x
  3. Step 3: Cross multiply
    684,001,194x = 1,435,187,028 × 1,435,187,028
  4. Step 4: Simplify right side
    684,001,194x = 2,059,761,805,339,472,896
  5. Step 5: Solve for x
    x = 2,059,761,805,339,472,896/684,001,194
  6. Step 6: Final answer
    x = 3,011,342,411.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.