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Finding the Third Proportional to 24,678,841.50 and 36,064,730.25

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Solution

The third proportional to 24,678,841.50 and 36,064,730.25 is: 52,703,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678,841.50 : 36,064,730.25 = 36,064,730.25 : x
  2. Step 2: Convert to fraction form
    24,678,841.50/36,064,730.25 = 36,064,730.25/x
  3. Step 3: Cross multiply
    24,678,841.50x = 36,064,730.25 × 36,064,730.25
  4. Step 4: Simplify right side
    24,678,841.50x = 1,300,664,768,005,265
  5. Step 5: Solve for x
    x = 1,300,664,768,005,265/24,678,841.50
  6. Step 6: Final answer
    x = 52,703,639.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.