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Finding the Third Proportional to 34,362,931.50 and 74,103,021

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Solution

The third proportional to 34,362,931.50 and 74,103,021 is: 159,801,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,362,931.50 : 74,103,021 = 74,103,021 : x
  2. Step 2: Convert to fraction form
    34,362,931.50/74,103,021 = 74,103,021/x
  3. Step 3: Cross multiply
    34,362,931.50x = 74,103,021 × 74,103,021
  4. Step 4: Simplify right side
    34,362,931.50x = 5,491,257,721,326,441
  5. Step 5: Solve for x
    x = 5,491,257,721,326,441/34,362,931.50
  6. Step 6: Final answer
    x = 159,801,782.96

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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.