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Finding the Third Proportional to 40,216,926,240 and 84,601,539,648

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Solution

The third proportional to 40,216,926,240 and 84,601,539,648 is: 177,970,351,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216,926,240 : 84,601,539,648 = 84,601,539,648 : x
  2. Step 2: Convert to fraction form
    40,216,926,240/84,601,539,648 = 84,601,539,648/x
  3. Step 3: Cross multiply
    40,216,926,240x = 84,601,539,648 × 84,601,539,648
  4. Step 4: Simplify right side
    40,216,926,240x = 7,157,420,510,812,115,566,592
  5. Step 5: Solve for x
    x = 7,157,420,510,812,115,566,592/40,216,926,240
  6. Step 6: Final answer
    x = 177,970,351,789.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.