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Finding the Third Proportional to 4,237,784 and 9,197,998

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Solution

The third proportional to 4,237,784 and 9,197,998 is: 19,964,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,784 : 9,197,998 = 9,197,998 : x
  2. Step 2: Convert to fraction form
    4,237,784/9,197,998 = 9,197,998/x
  3. Step 3: Cross multiply
    4,237,784x = 9,197,998 × 9,197,998
  4. Step 4: Simplify right side
    4,237,784x = 84,603,167,208,004
  5. Step 5: Solve for x
    x = 84,603,167,208,004/4,237,784
  6. Step 6: Final answer
    x = 19,964,011.19

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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.