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Finding the Third Proportional to 70,155,055,016 and 144,029,242,548

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Solution

The third proportional to 70,155,055,016 and 144,029,242,548 is: 295,693,912,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,155,055,016 : 144,029,242,548 = 144,029,242,548 : x
  2. Step 2: Convert to fraction form
    70,155,055,016/144,029,242,548 = 144,029,242,548/x
  3. Step 3: Cross multiply
    70,155,055,016x = 144,029,242,548 × 144,029,242,548
  4. Step 4: Simplify right side
    70,155,055,016x = 20,744,422,708,950,612,312,064
  5. Step 5: Solve for x
    x = 20,744,422,708,950,612,312,064/70,155,055,016
  6. Step 6: Final answer
    x = 295,693,912,637.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.