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Finding the Third Proportional to 1,919,699,883 and 2,866,970,200

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Solution

The third proportional to 1,919,699,883 and 2,866,970,200 is: 4,281,668,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,699,883 : 2,866,970,200 = 2,866,970,200 : x
  2. Step 2: Convert to fraction form
    1,919,699,883/2,866,970,200 = 2,866,970,200/x
  3. Step 3: Cross multiply
    1,919,699,883x = 2,866,970,200 × 2,866,970,200
  4. Step 4: Simplify right side
    1,919,699,883x = 8,219,518,127,688,040,448
  5. Step 5: Solve for x
    x = 8,219,518,127,688,040,448/1,919,699,883
  6. Step 6: Final answer
    x = 4,281,668,296.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.