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Finding the Third Proportional to 12,357,823 and 26,912,579

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Solution

The third proportional to 12,357,823 and 26,912,579 is: 58,609,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,823 : 26,912,579 = 26,912,579 : x
  2. Step 2: Convert to fraction form
    12,357,823/26,912,579 = 26,912,579/x
  3. Step 3: Cross multiply
    12,357,823x = 26,912,579 × 26,912,579
  4. Step 4: Simplify right side
    12,357,823x = 724,286,908,431,241
  5. Step 5: Solve for x
    x = 724,286,908,431,241/12,357,823
  6. Step 6: Final answer
    x = 58,609,587.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.