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Finding the Third Proportional to 34,640,678.25 and 48,429,706.50

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Solution

The third proportional to 34,640,678.25 and 48,429,706.50 is: 67,707,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640,678.25 : 48,429,706.50 = 48,429,706.50 : x
  2. Step 2: Convert to fraction form
    34,640,678.25/48,429,706.50 = 48,429,706.50/x
  3. Step 3: Cross multiply
    34,640,678.25x = 48,429,706.50 × 48,429,706.50
  4. Step 4: Simplify right side
    34,640,678.25x = 2,345,436,471,676,142
  5. Step 5: Solve for x
    x = 2,345,436,471,676,142/34,640,678.25
  6. Step 6: Final answer
    x = 67,707,579.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.