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Finding the Third Proportional to 12,421,684.13 and 27,146,269.13

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Solution

The third proportional to 12,421,684.13 and 27,146,269.13 is: 59,325,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421,684.13 : 27,146,269.13 = 27,146,269.13 : x
  2. Step 2: Convert to fraction form
    12,421,684.13/27,146,269.13 = 27,146,269.13/x
  3. Step 3: Cross multiply
    12,421,684.13x = 27,146,269.13 × 27,146,269.13
  4. Step 4: Simplify right side
    12,421,684.13x = 736,919,927,406,928.25
  5. Step 5: Solve for x
    x = 736,919,927,406,928.25/12,421,684.13
  6. Step 6: Final answer
    x = 59,325,283.11

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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.