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Finding the Third Proportional to 7,417,985 and 15,633,009.50

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Solution

The third proportional to 7,417,985 and 15,633,009.50 is: 32,945,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417,985 : 15,633,009.50 = 15,633,009.50 : x
  2. Step 2: Convert to fraction form
    7,417,985/15,633,009.50 = 15,633,009.50/x
  3. Step 3: Cross multiply
    7,417,985x = 15,633,009.50 × 15,633,009.50
  4. Step 4: Simplify right side
    7,417,985x = 244,390,986,027,090.25
  5. Step 5: Solve for x
    x = 244,390,986,027,090.25/7,417,985
  6. Step 6: Final answer
    x = 32,945,737.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.