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Finding the Third Proportional to 1,837,584,012 and 2,824,498,386

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Solution

The third proportional to 1,837,584,012 and 2,824,498,386 is: 4,341,456,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,584,012 : 2,824,498,386 = 2,824,498,386 : x
  2. Step 2: Convert to fraction form
    1,837,584,012/2,824,498,386 = 2,824,498,386/x
  3. Step 3: Cross multiply
    1,837,584,012x = 2,824,498,386 × 2,824,498,386
  4. Step 4: Simplify right side
    1,837,584,012x = 7,977,791,132,516,604,928
  5. Step 5: Solve for x
    x = 7,977,791,132,516,604,928/1,837,584,012
  6. Step 6: Final answer
    x = 4,341,456,543.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.