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Finding the Third Proportional to 1,280,506,788 and 2,855,443,576

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Solution

The third proportional to 1,280,506,788 and 2,855,443,576 is: 6,367,446,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,506,788 : 2,855,443,576 = 2,855,443,576 : x
  2. Step 2: Convert to fraction form
    1,280,506,788/2,855,443,576 = 2,855,443,576/x
  3. Step 3: Cross multiply
    1,280,506,788x = 2,855,443,576 × 2,855,443,576
  4. Step 4: Simplify right side
    1,280,506,788x = 8,153,558,015,719,667,712
  5. Step 5: Solve for x
    x = 8,153,558,015,719,667,712/1,280,506,788
  6. Step 6: Final answer
    x = 6,367,446,148.77

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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.