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Finding the Third Proportional to 5,849,863.03 and 13,044,014.72

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Solution

The third proportional to 5,849,863.03 and 13,044,014.72 is: 29,085,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,863.03 : 13,044,014.72 = 13,044,014.72 : x
  2. Step 2: Convert to fraction form
    5,849,863.03/13,044,014.72 = 13,044,014.72/x
  3. Step 3: Cross multiply
    5,849,863.03x = 13,044,014.72 × 13,044,014.72
  4. Step 4: Simplify right side
    5,849,863.03x = 170,146,319,982,966.66
  5. Step 5: Solve for x
    x = 170,146,319,982,966.66/5,849,863.03
  6. Step 6: Final answer
    x = 29,085,522.02

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.