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Finding the Third Proportional to 9,465,876 and 13,535,046

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Solution

The third proportional to 9,465,876 and 13,535,046 is: 19,353,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465,876 : 13,535,046 = 13,535,046 : x
  2. Step 2: Convert to fraction form
    9,465,876/13,535,046 = 13,535,046/x
  3. Step 3: Cross multiply
    9,465,876x = 13,535,046 × 13,535,046
  4. Step 4: Simplify right side
    9,465,876x = 183,197,470,222,116
  5. Step 5: Solve for x
    x = 183,197,470,222,116/9,465,876
  6. Step 6: Final answer
    x = 19,353,461.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.