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Finding the Third Proportional to 876,838,204 and 1,908,035,260

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Solution

The third proportional to 876,838,204 and 1,908,035,260 is: 4,151,961,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,838,204 : 1,908,035,260 = 1,908,035,260 : x
  2. Step 2: Convert to fraction form
    876,838,204/1,908,035,260 = 1,908,035,260/x
  3. Step 3: Cross multiply
    876,838,204x = 1,908,035,260 × 1,908,035,260
  4. Step 4: Simplify right side
    876,838,204x = 3,640,598,553,403,267,584
  5. Step 5: Solve for x
    x = 3,640,598,553,403,267,584/876,838,204
  6. Step 6: Final answer
    x = 4,151,961,601.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.