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Finding the Third Proportional to 2,118,046,098 and 4,617,459,660

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Solution

The third proportional to 2,118,046,098 and 4,617,459,660 is: 10,066,321,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,046,098 : 4,617,459,660 = 4,617,459,660 : x
  2. Step 2: Convert to fraction form
    2,118,046,098/4,617,459,660 = 4,617,459,660/x
  3. Step 3: Cross multiply
    2,118,046,098x = 4,617,459,660 × 4,617,459,660
  4. Step 4: Simplify right side
    2,118,046,098x = 21,320,933,711,727,316,992
  5. Step 5: Solve for x
    x = 21,320,933,711,727,316,992/2,118,046,098
  6. Step 6: Final answer
    x = 10,066,321,848.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.