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Finding the Third Proportional to 9,023,784 and 19,486,008

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Solution

The third proportional to 9,023,784 and 19,486,008 is: 42,078,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023,784 : 19,486,008 = 19,486,008 : x
  2. Step 2: Convert to fraction form
    9,023,784/19,486,008 = 19,486,008/x
  3. Step 3: Cross multiply
    9,023,784x = 19,486,008 × 19,486,008
  4. Step 4: Simplify right side
    9,023,784x = 379,704,507,776,064
  5. Step 5: Solve for x
    x = 379,704,507,776,064/9,023,784
  6. Step 6: Final answer
    x = 42,078,191.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.