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Finding the Third Proportional to 5,709,618 and 8,406,711

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Solution

The third proportional to 5,709,618 and 8,406,711 is: 12,377,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,618 : 8,406,711 = 8,406,711 : x
  2. Step 2: Convert to fraction form
    5,709,618/8,406,711 = 8,406,711/x
  3. Step 3: Cross multiply
    5,709,618x = 8,406,711 × 8,406,711
  4. Step 4: Simplify right side
    5,709,618x = 70,672,789,837,521
  5. Step 5: Solve for x
    x = 70,672,789,837,521/5,709,618
  6. Step 6: Final answer
    x = 12,377,849.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.