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Finding the Third Proportional to 324,142,929 and 709,760,965.50

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Solution

The third proportional to 324,142,929 and 709,760,965.50 is: 1,554,131,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,142,929 : 709,760,965.50 = 709,760,965.50 : x
  2. Step 2: Convert to fraction form
    324,142,929/709,760,965.50 = 709,760,965.50/x
  3. Step 3: Cross multiply
    324,142,929x = 709,760,965.50 × 709,760,965.50
  4. Step 4: Simplify right side
    324,142,929x = 503,760,628,147,492,160
  5. Step 5: Solve for x
    x = 503,760,628,147,492,160/324,142,929
  6. Step 6: Final answer
    x = 1,554,131,165.85

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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.