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Finding the Third Proportional to 9,122,784 and 19,593,312

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Solution

The third proportional to 9,122,784 and 19,593,312 is: 42,081,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122,784 : 19,593,312 = 19,593,312 : x
  2. Step 2: Convert to fraction form
    9,122,784/19,593,312 = 19,593,312/x
  3. Step 3: Cross multiply
    9,122,784x = 19,593,312 × 19,593,312
  4. Step 4: Simplify right side
    9,122,784x = 383,897,875,129,344
  5. Step 5: Solve for x
    x = 383,897,875,129,344/9,122,784
  6. Step 6: Final answer
    x = 42,081,219.41

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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.