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Finding the Third Proportional to 1,280,506,786 and 2,855,443,572

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Solution

The third proportional to 1,280,506,786 and 2,855,443,572 is: 6,367,446,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,506,786 : 2,855,443,572 = 2,855,443,572 : x
  2. Step 2: Convert to fraction form
    1,280,506,786/2,855,443,572 = 2,855,443,572/x
  3. Step 3: Cross multiply
    1,280,506,786x = 2,855,443,572 × 2,855,443,572
  4. Step 4: Simplify right side
    1,280,506,786x = 8,153,557,992,876,119,040
  5. Step 5: Solve for x
    x = 8,153,557,992,876,119,040/1,280,506,786
  6. Step 6: Final answer
    x = 6,367,446,140.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.