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Finding the Third Proportional to 9,586,521 and 13,484,080

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Solution

The third proportional to 9,586,521 and 13,484,080 is: 18,966,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,521 : 13,484,080 = 13,484,080 : x
  2. Step 2: Convert to fraction form
    9,586,521/13,484,080 = 13,484,080/x
  3. Step 3: Cross multiply
    9,586,521x = 13,484,080 × 13,484,080
  4. Step 4: Simplify right side
    9,586,521x = 181,820,413,446,400
  5. Step 5: Solve for x
    x = 181,820,413,446,400/9,586,521
  6. Step 6: Final answer
    x = 18,966,256.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.