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Finding the Third Proportional to 9,843,850.69 and 15,406,931.53

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Solution

The third proportional to 9,843,850.69 and 15,406,931.53 is: 24,113,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,850.69 : 15,406,931.53 = 15,406,931.53 : x
  2. Step 2: Convert to fraction form
    9,843,850.69/15,406,931.53 = 15,406,931.53/x
  3. Step 3: Cross multiply
    9,843,850.69x = 15,406,931.53 × 15,406,931.53
  4. Step 4: Simplify right side
    9,843,850.69x = 237,373,539,208,625.47
  5. Step 5: Solve for x
    x = 237,373,539,208,625.47/9,843,850.69
  6. Step 6: Final answer
    x = 24,113,890.67

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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.