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Finding the Third Proportional to 1,950,785,156 and 2,971,911,837

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Solution

The third proportional to 1,950,785,156 and 2,971,911,837 is: 4,527,541,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950,785,156 : 2,971,911,837 = 2,971,911,837 : x
  2. Step 2: Convert to fraction form
    1,950,785,156/2,971,911,837 = 2,971,911,837/x
  3. Step 3: Cross multiply
    1,950,785,156x = 2,971,911,837 × 2,971,911,837
  4. Step 4: Simplify right side
    1,950,785,156x = 8,832,259,966,900,714,496
  5. Step 5: Solve for x
    x = 8,832,259,966,900,714,496/1,950,785,156
  6. Step 6: Final answer
    x = 4,527,541,097.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.