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Finding the Third Proportional to 35,813,356.31 and 76,732,605.84

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Solution

The third proportional to 35,813,356.31 and 76,732,605.84 is: 164,404,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813,356.31 : 76,732,605.84 = 76,732,605.84 : x
  2. Step 2: Convert to fraction form
    35,813,356.31/76,732,605.84 = 76,732,605.84/x
  3. Step 3: Cross multiply
    35,813,356.31x = 76,732,605.84 × 76,732,605.84
  4. Step 4: Simplify right side
    35,813,356.31x = 5,887,892,799,572,297
  5. Step 5: Solve for x
    x = 5,887,892,799,572,297/35,813,356.31
  6. Step 6: Final answer
    x = 164,404,942.90

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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.