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Finding the Third Proportional to 6,220,335,914 and 13,708,574,422

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Solution

The third proportional to 6,220,335,914 and 13,708,574,422 is: 30,211,392,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220,335,914 : 13,708,574,422 = 13,708,574,422 : x
  2. Step 2: Convert to fraction form
    6,220,335,914/13,708,574,422 = 13,708,574,422/x
  3. Step 3: Cross multiply
    6,220,335,914x = 13,708,574,422 × 13,708,574,422
  4. Step 4: Simplify right side
    6,220,335,914x = 187,925,012,683,512,643,584
  5. Step 5: Solve for x
    x = 187,925,012,683,512,643,584/6,220,335,914
  6. Step 6: Final answer
    x = 30,211,392,966.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.