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Finding the Third Proportional to 1,291,976,205 and 2,834,081,785

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Solution

The third proportional to 1,291,976,205 and 2,834,081,785 is: 6,216,847,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,976,205 : 2,834,081,785 = 2,834,081,785 : x
  2. Step 2: Convert to fraction form
    1,291,976,205/2,834,081,785 = 2,834,081,785/x
  3. Step 3: Cross multiply
    1,291,976,205x = 2,834,081,785 × 2,834,081,785
  4. Step 4: Simplify right side
    1,291,976,205x = 8,032,019,564,068,786,176
  5. Step 5: Solve for x
    x = 8,032,019,564,068,786,176/1,291,976,205
  6. Step 6: Final answer
    x = 6,216,847,905.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.