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Finding the Third Proportional to 34,348,826 and 74,078,340.50

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Solution

The third proportional to 34,348,826 and 74,078,340.50 is: 159,760,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348,826 : 74,078,340.50 = 74,078,340.50 : x
  2. Step 2: Convert to fraction form
    34,348,826/74,078,340.50 = 74,078,340.50/x
  3. Step 3: Cross multiply
    34,348,826x = 74,078,340.50 × 74,078,340.50
  4. Step 4: Simplify right side
    34,348,826x = 5,487,600,531,233,940
  5. Step 5: Solve for x
    x = 5,487,600,531,233,940/34,348,826
  6. Step 6: Final answer
    x = 159,760,934.22

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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.