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Finding the Third Proportional to 29,300,433.75 and 43,103,731.50

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Solution

The third proportional to 29,300,433.75 and 43,103,731.50 is: 63,409,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,300,433.75 : 43,103,731.50 = 43,103,731.50 : x
  2. Step 2: Convert to fraction form
    29,300,433.75/43,103,731.50 = 43,103,731.50/x
  3. Step 3: Cross multiply
    29,300,433.75x = 43,103,731.50 × 43,103,731.50
  4. Step 4: Simplify right side
    29,300,433.75x = 1,857,931,669,224,092.25
  5. Step 5: Solve for x
    x = 1,857,931,669,224,092.25/29,300,433.75
  6. Step 6: Final answer
    x = 63,409,698.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.