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Finding the Third Proportional to 4,237,776 and 9,197,982

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Solution

The third proportional to 4,237,776 and 9,197,982 is: 19,963,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,776 : 9,197,982 = 9,197,982 : x
  2. Step 2: Convert to fraction form
    4,237,776/9,197,982 = 9,197,982/x
  3. Step 3: Cross multiply
    4,237,776x = 9,197,982 × 9,197,982
  4. Step 4: Simplify right side
    4,237,776x = 84,602,872,872,324
  5. Step 5: Solve for x
    x = 84,602,872,872,324/4,237,776
  6. Step 6: Final answer
    x = 19,963,979.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.