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Finding the Third Proportional to 1,160,161,001 and 1,840,087,366

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Solution

The third proportional to 1,160,161,001 and 1,840,087,366 is: 2,918,492,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,161,001 : 1,840,087,366 = 1,840,087,366 : x
  2. Step 2: Convert to fraction form
    1,160,161,001/1,840,087,366 = 1,840,087,366/x
  3. Step 3: Cross multiply
    1,160,161,001x = 1,840,087,366 × 1,840,087,366
  4. Step 4: Simplify right side
    1,160,161,001x = 3,385,921,514,512,818,176
  5. Step 5: Solve for x
    x = 3,385,921,514,512,818,176/1,160,161,001
  6. Step 6: Final answer
    x = 2,918,492,788.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.