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Finding the Third Proportional to 14,654,683 and 31,326,153

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Solution

The third proportional to 14,654,683 and 31,326,153 is: 66,963,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654,683 : 31,326,153 = 31,326,153 : x
  2. Step 2: Convert to fraction form
    14,654,683/31,326,153 = 31,326,153/x
  3. Step 3: Cross multiply
    14,654,683x = 31,326,153 × 31,326,153
  4. Step 4: Simplify right side
    14,654,683x = 981,327,861,779,409
  5. Step 5: Solve for x
    x = 981,327,861,779,409/14,654,683
  6. Step 6: Final answer
    x = 66,963,431.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.