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Finding the Third Proportional to 42,566,703,572 and 59,867,220,639

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Solution

The third proportional to 42,566,703,572 and 59,867,220,639 is: 84,199,240,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,566,703,572 : 59,867,220,639 = 59,867,220,639 : x
  2. Step 2: Convert to fraction form
    42,566,703,572/59,867,220,639 = 59,867,220,639/x
  3. Step 3: Cross multiply
    42,566,703,572x = 59,867,220,639 × 59,867,220,639
  4. Step 4: Simplify right side
    42,566,703,572x = 3,584,084,107,038,707,679,232
  5. Step 5: Solve for x
    x = 3,584,084,107,038,707,679,232/42,566,703,572
  6. Step 6: Final answer
    x = 84,199,240,398.69

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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.