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Finding the Third Proportional to 34,044,405.47 and 72,821,957.34

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Solution

The third proportional to 34,044,405.47 and 72,821,957.34 is: 155,768,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044,405.47 : 72,821,957.34 = 72,821,957.34 : x
  2. Step 2: Convert to fraction form
    34,044,405.47/72,821,957.34 = 72,821,957.34/x
  3. Step 3: Cross multiply
    34,044,405.47x = 72,821,957.34 × 72,821,957.34
  4. Step 4: Simplify right side
    34,044,405.47x = 5,303,037,471,374,945
  5. Step 5: Solve for x
    x = 5,303,037,471,374,945/34,044,405.47
  6. Step 6: Final answer
    x = 155,768,250.27

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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.