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Finding the Third Proportional to 32,980,974 and 51,356,097

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Solution

The third proportional to 32,980,974 and 51,356,097 is: 79,968,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980,974 : 51,356,097 = 51,356,097 : x
  2. Step 2: Convert to fraction form
    32,980,974/51,356,097 = 51,356,097/x
  3. Step 3: Cross multiply
    32,980,974x = 51,356,097 × 51,356,097
  4. Step 4: Simplify right side
    32,980,974x = 2,637,448,699,073,409
  5. Step 5: Solve for x
    x = 2,637,448,699,073,409/32,980,974
  6. Step 6: Final answer
    x = 79,968,793.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.