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Finding the Third Proportional to 35,867,145 and 57,099,568.50

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Solution

The third proportional to 35,867,145 and 57,099,568.50 is: 90,901,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867,145 : 57,099,568.50 = 57,099,568.50 : x
  2. Step 2: Convert to fraction form
    35,867,145/57,099,568.50 = 57,099,568.50/x
  3. Step 3: Cross multiply
    35,867,145x = 57,099,568.50 × 57,099,568.50
  4. Step 4: Simplify right side
    35,867,145x = 3,260,360,722,886,192
  5. Step 5: Solve for x
    x = 3,260,360,722,886,192/35,867,145
  6. Step 6: Final answer
    x = 90,901,038.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.