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Finding the Third Proportional to 31,848,808.50 and 69,658,768.13

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Solution

The third proportional to 31,848,808.50 and 69,658,768.13 is: 152,355,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848,808.50 : 69,658,768.13 = 69,658,768.13 : x
  2. Step 2: Convert to fraction form
    31,848,808.50/69,658,768.13 = 69,658,768.13/x
  3. Step 3: Cross multiply
    31,848,808.50x = 69,658,768.13 × 69,658,768.13
  4. Step 4: Simplify right side
    31,848,808.50x = 4,852,343,976,692,516
  5. Step 5: Solve for x
    x = 4,852,343,976,692,516/31,848,808.50
  6. Step 6: Final answer
    x = 152,355,588.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.