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Finding the Third Proportional to 34,348,809.50 and 74,078,307

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Solution

The third proportional to 34,348,809.50 and 74,078,307 is: 159,760,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348,809.50 : 74,078,307 = 74,078,307 : x
  2. Step 2: Convert to fraction form
    34,348,809.50/74,078,307 = 74,078,307/x
  3. Step 3: Cross multiply
    34,348,809.50x = 74,078,307 × 74,078,307
  4. Step 4: Simplify right side
    34,348,809.50x = 5,487,595,567,986,249
  5. Step 5: Solve for x
    x = 5,487,595,567,986,249/34,348,809.50
  6. Step 6: Final answer
    x = 159,760,866.47

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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.