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Finding the Third Proportional to 2,220,751,360 and 3,449,729,712

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Solution

The third proportional to 2,220,751,360 and 3,449,729,712 is: 5,358,832,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,751,360 : 3,449,729,712 = 3,449,729,712 : x
  2. Step 2: Convert to fraction form
    2,220,751,360/3,449,729,712 = 3,449,729,712/x
  3. Step 3: Cross multiply
    2,220,751,360x = 3,449,729,712 × 3,449,729,712
  4. Step 4: Simplify right side
    2,220,751,360x = 11,900,635,085,855,602,688
  5. Step 5: Solve for x
    x = 11,900,635,085,855,602,688/2,220,751,360
  6. Step 6: Final answer
    x = 5,358,832,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.