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Finding the Third Proportional to 1,385,919,439 and 2,886,482,511

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Solution

The third proportional to 1,385,919,439 and 2,886,482,511 is: 6,011,735,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,919,439 : 2,886,482,511 = 2,886,482,511 : x
  2. Step 2: Convert to fraction form
    1,385,919,439/2,886,482,511 = 2,886,482,511/x
  3. Step 3: Cross multiply
    1,385,919,439x = 2,886,482,511 × 2,886,482,511
  4. Step 4: Simplify right side
    1,385,919,439x = 8,331,781,286,308,865,024
  5. Step 5: Solve for x
    x = 8,331,781,286,308,865,024/1,385,919,439
  6. Step 6: Final answer
    x = 6,011,735,640.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.