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Finding the Third Proportional to 9,769,356 and 14,944,146

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Solution

The third proportional to 9,769,356 and 14,944,146 is: 22,860,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769,356 : 14,944,146 = 14,944,146 : x
  2. Step 2: Convert to fraction form
    9,769,356/14,944,146 = 14,944,146/x
  3. Step 3: Cross multiply
    9,769,356x = 14,944,146 × 14,944,146
  4. Step 4: Simplify right side
    9,769,356x = 223,327,499,669,316
  5. Step 5: Solve for x
    x = 223,327,499,669,316/9,769,356
  6. Step 6: Final answer
    x = 22,860,002.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.