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Finding the Third Proportional to 1,791,893,624.34 and 2,491,484,855.63

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Solution

The third proportional to 1,791,893,624.34 and 2,491,484,855.63 is: 3,464,210,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,893,624.34 : 2,491,484,855.63 = 2,491,484,855.63 : x
  2. Step 2: Convert to fraction form
    1,791,893,624.34/2,491,484,855.63 = 2,491,484,855.63/x
  3. Step 3: Cross multiply
    1,791,893,624.34x = 2,491,484,855.63 × 2,491,484,855.63
  4. Step 4: Simplify right side
    1,791,893,624.34x = 6,207,496,785,808,727,040
  5. Step 5: Solve for x
    x = 6,207,496,785,808,727,040/1,791,893,624.34
  6. Step 6: Final answer
    x = 3,464,210,543.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.