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Finding the Third Proportional to 9,843,774.75 and 15,406,817.63

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Solution

The third proportional to 9,843,774.75 and 15,406,817.63 is: 24,113,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,774.75 : 15,406,817.63 = 15,406,817.63 : x
  2. Step 2: Convert to fraction form
    9,843,774.75/15,406,817.63 = 15,406,817.63/x
  3. Step 3: Cross multiply
    9,843,774.75x = 15,406,817.63 × 15,406,817.63
  4. Step 4: Simplify right side
    9,843,774.75x = 237,370,029,330,010.62
  5. Step 5: Solve for x
    x = 237,370,029,330,010.62/9,843,774.75
  6. Step 6: Final answer
    x = 24,113,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.