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Finding the Third Proportional to 1,280,506,784 and 2,855,443,568

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Solution

The third proportional to 1,280,506,784 and 2,855,443,568 is: 6,367,446,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,506,784 : 2,855,443,568 = 2,855,443,568 : x
  2. Step 2: Convert to fraction form
    1,280,506,784/2,855,443,568 = 2,855,443,568/x
  3. Step 3: Cross multiply
    1,280,506,784x = 2,855,443,568 × 2,855,443,568
  4. Step 4: Simplify right side
    1,280,506,784x = 8,153,557,970,032,570,368
  5. Step 5: Solve for x
    x = 8,153,557,970,032,570,368/1,280,506,784
  6. Step 6: Final answer
    x = 6,367,446,132.98

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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.