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Finding the Third Proportional to 35,811,897.19 and 72,940,664.53

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Solution

The third proportional to 35,811,897.19 and 72,940,664.53 is: 148,563,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811,897.19 : 72,940,664.53 = 72,940,664.53 : x
  2. Step 2: Convert to fraction form
    35,811,897.19/72,940,664.53 = 72,940,664.53/x
  3. Step 3: Cross multiply
    35,811,897.19x = 72,940,664.53 × 72,940,664.53
  4. Step 4: Simplify right side
    35,811,897.19x = 5,320,340,542,260,352
  5. Step 5: Solve for x
    x = 5,320,340,542,260,352/35,811,897.19
  6. Step 6: Final answer
    x = 148,563,493.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.