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Finding the Third Proportional to 24,728,685 and 37,827,373.50

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Solution

The third proportional to 24,728,685 and 37,827,373.50 is: 57,864,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728,685 : 37,827,373.50 = 37,827,373.50 : x
  2. Step 2: Convert to fraction form
    24,728,685/37,827,373.50 = 37,827,373.50/x
  3. Step 3: Cross multiply
    24,728,685x = 37,827,373.50 × 37,827,373.50
  4. Step 4: Simplify right side
    24,728,685x = 1,430,910,185,908,502.25
  5. Step 5: Solve for x
    x = 1,430,910,185,908,502.25/24,728,685
  6. Step 6: Final answer
    x = 57,864,386.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.