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Finding the Third Proportional to 25,192,983 and 37,782,904.50

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Solution

The third proportional to 25,192,983 and 37,782,904.50 is: 56,664,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192,983 : 37,782,904.50 = 37,782,904.50 : x
  2. Step 2: Convert to fraction form
    25,192,983/37,782,904.50 = 37,782,904.50/x
  3. Step 3: Cross multiply
    25,192,983x = 37,782,904.50 × 37,782,904.50
  4. Step 4: Simplify right side
    25,192,983x = 1,427,547,872,456,120.25
  5. Step 5: Solve for x
    x = 1,427,547,872,456,120.25/25,192,983
  6. Step 6: Final answer
    x = 56,664,503.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.