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Finding the Third Proportional to 27,482,784 and 59,701,152

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Solution

The third proportional to 27,482,784 and 59,701,152 is: 129,689,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482,784 : 59,701,152 = 59,701,152 : x
  2. Step 2: Convert to fraction form
    27,482,784/59,701,152 = 59,701,152/x
  3. Step 3: Cross multiply
    27,482,784x = 59,701,152 × 59,701,152
  4. Step 4: Simplify right side
    27,482,784x = 3,564,227,550,127,104
  5. Step 5: Solve for x
    x = 3,564,227,550,127,104/27,482,784
  6. Step 6: Final answer
    x = 129,689,464.87

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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.