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Finding the Third Proportional to 30,281,053.50 and 66,424,573.50

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Solution

The third proportional to 30,281,053.50 and 66,424,573.50 is: 145,709,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281,053.50 : 66,424,573.50 = 66,424,573.50 : x
  2. Step 2: Convert to fraction form
    30,281,053.50/66,424,573.50 = 66,424,573.50/x
  3. Step 3: Cross multiply
    30,281,053.50x = 66,424,573.50 × 66,424,573.50
  4. Step 4: Simplify right side
    30,281,053.50x = 4,412,223,964,656,902
  5. Step 5: Solve for x
    x = 4,412,223,964,656,902/30,281,053.50
  6. Step 6: Final answer
    x = 145,709,064.07

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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.