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Finding the Third Proportional to 38,830,176 and 84,437,784

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Solution

The third proportional to 38,830,176 and 84,437,784 is: 183,613,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830,176 : 84,437,784 = 84,437,784 : x
  2. Step 2: Convert to fraction form
    38,830,176/84,437,784 = 84,437,784/x
  3. Step 3: Cross multiply
    38,830,176x = 84,437,784 × 84,437,784
  4. Step 4: Simplify right side
    38,830,176x = 7,129,739,366,830,656
  5. Step 5: Solve for x
    x = 7,129,739,366,830,656/38,830,176
  6. Step 6: Final answer
    x = 183,613,367.26

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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.