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Finding the Third Proportional to 324,142,894.13 and 709,760,900.25

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Solution

The third proportional to 324,142,894.13 and 709,760,900.25 is: 1,554,131,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,142,894.13 : 709,760,900.25 = 709,760,900.25 : x
  2. Step 2: Convert to fraction form
    324,142,894.13/709,760,900.25 = 709,760,900.25/x
  3. Step 3: Cross multiply
    324,142,894.13x = 709,760,900.25 × 709,760,900.25
  4. Step 4: Simplify right side
    324,142,894.13x = 503,760,535,523,690,432
  5. Step 5: Solve for x
    x = 503,760,535,523,690,432/324,142,894.13
  6. Step 6: Final answer
    x = 1,554,131,047.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.