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Finding the Third Proportional to 4,046,695,890 and 6,070,043,422

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Solution

The third proportional to 4,046,695,890 and 6,070,043,422 is: 9,105,064,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,695,890 : 6,070,043,422 = 6,070,043,422 : x
  2. Step 2: Convert to fraction form
    4,046,695,890/6,070,043,422 = 6,070,043,422/x
  3. Step 3: Cross multiply
    4,046,695,890x = 6,070,043,422 × 6,070,043,422
  4. Step 4: Simplify right side
    4,046,695,890x = 36,845,427,144,965,468,160
  5. Step 5: Solve for x
    x = 36,845,427,144,965,468,160/4,046,695,890
  6. Step 6: Final answer
    x = 9,105,064,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.