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Finding the Third Proportional to 9,468,876 and 20,709,618

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Solution

The third proportional to 9,468,876 and 20,709,618 is: 45,294,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,876 : 20,709,618 = 20,709,618 : x
  2. Step 2: Convert to fraction form
    9,468,876/20,709,618 = 20,709,618/x
  3. Step 3: Cross multiply
    9,468,876x = 20,709,618 × 20,709,618
  4. Step 4: Simplify right side
    9,468,876x = 428,888,277,705,924
  5. Step 5: Solve for x
    x = 428,888,277,705,924/9,468,876
  6. Step 6: Final answer
    x = 45,294,528.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.