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Finding the Third Proportional to 42,566,703,570 and 59,867,220,636

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Solution

The third proportional to 42,566,703,570 and 59,867,220,636 is: 84,199,240,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,566,703,570 : 59,867,220,636 = 59,867,220,636 : x
  2. Step 2: Convert to fraction form
    42,566,703,570/59,867,220,636 = 59,867,220,636/x
  3. Step 3: Cross multiply
    42,566,703,570x = 59,867,220,636 × 59,867,220,636
  4. Step 4: Simplify right side
    42,566,703,570x = 3,584,084,106,679,504,338,944
  5. Step 5: Solve for x
    x = 3,584,084,106,679,504,338,944/42,566,703,570
  6. Step 6: Final answer
    x = 84,199,240,394.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.