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Finding the Third Proportional to 9,946,926 and 14,957,316

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Solution

The third proportional to 9,946,926 and 14,957,316 is: 22,491,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946,926 : 14,957,316 = 14,957,316 : x
  2. Step 2: Convert to fraction form
    9,946,926/14,957,316 = 14,957,316/x
  3. Step 3: Cross multiply
    9,946,926x = 14,957,316 × 14,957,316
  4. Step 4: Simplify right side
    9,946,926x = 223,721,301,923,856
  5. Step 5: Solve for x
    x = 223,721,301,923,856/9,946,926
  6. Step 6: Final answer
    x = 22,491,501.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.