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Finding the Third Proportional to 1,563,869,336 and 2,294,678,583

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Solution

The third proportional to 1,563,869,336 and 2,294,678,583 is: 3,367,001,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563,869,336 : 2,294,678,583 = 2,294,678,583 : x
  2. Step 2: Convert to fraction form
    1,563,869,336/2,294,678,583 = 2,294,678,583/x
  3. Step 3: Cross multiply
    1,563,869,336x = 2,294,678,583 × 2,294,678,583
  4. Step 4: Simplify right side
    1,563,869,336x = 5,265,549,799,278,887,936
  5. Step 5: Solve for x
    x = 5,265,549,799,278,887,936/1,563,869,336
  6. Step 6: Final answer
    x = 3,367,001,115.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.