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Finding the Third Proportional to 4,677,784 and 10,077,439

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Solution

The third proportional to 4,677,784 and 10,077,439 is: 21,710,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,784 : 10,077,439 = 10,077,439 : x
  2. Step 2: Convert to fraction form
    4,677,784/10,077,439 = 10,077,439/x
  3. Step 3: Cross multiply
    4,677,784x = 10,077,439 × 10,077,439
  4. Step 4: Simplify right side
    4,677,784x = 101,554,776,798,721
  5. Step 5: Solve for x
    x = 101,554,776,798,721/4,677,784
  6. Step 6: Final answer
    x = 21,710,018.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.