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Finding the Third Proportional to 27,424,698 and 56,975,146.50

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Solution

The third proportional to 27,424,698 and 56,975,146.50 is: 118,366,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424,698 : 56,975,146.50 = 56,975,146.50 : x
  2. Step 2: Convert to fraction form
    27,424,698/56,975,146.50 = 56,975,146.50/x
  3. Step 3: Cross multiply
    27,424,698x = 56,975,146.50 × 56,975,146.50
  4. Step 4: Simplify right side
    27,424,698x = 3,246,167,318,696,462
  5. Step 5: Solve for x
    x = 3,246,167,318,696,462/27,424,698
  6. Step 6: Final answer
    x = 118,366,565.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.