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Finding the Third Proportional to 5,721,207.75 and 13,502,913.75

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Solution

The third proportional to 5,721,207.75 and 13,502,913.75 is: 31,868,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721,207.75 : 13,502,913.75 = 13,502,913.75 : x
  2. Step 2: Convert to fraction form
    5,721,207.75/13,502,913.75 = 13,502,913.75/x
  3. Step 3: Cross multiply
    5,721,207.75x = 13,502,913.75 × 13,502,913.75
  4. Step 4: Simplify right side
    5,721,207.75x = 182,328,679,739,939.06
  5. Step 5: Solve for x
    x = 182,328,679,739,939.06/5,721,207.75
  6. Step 6: Final answer
    x = 31,868,914.35

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.