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Finding the Third Proportional to 822,129,558 and 1,687,842,699

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Solution

The third proportional to 822,129,558 and 1,687,842,699 is: 3,465,163,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,129,558 : 1,687,842,699 = 1,687,842,699 : x
  2. Step 2: Convert to fraction form
    822,129,558/1,687,842,699 = 1,687,842,699/x
  3. Step 3: Cross multiply
    822,129,558x = 1,687,842,699 × 1,687,842,699
  4. Step 4: Simplify right side
    822,129,558x = 2,848,812,976,567,604,736
  5. Step 5: Solve for x
    x = 2,848,812,976,567,604,736/822,129,558
  6. Step 6: Final answer
    x = 3,465,163,062.01

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