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Finding the Third Proportional to 7,071,848 and 15,439,101.50

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Solution

The third proportional to 7,071,848 and 15,439,101.50 is: 33,706,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,848 : 15,439,101.50 = 15,439,101.50 : x
  2. Step 2: Convert to fraction form
    7,071,848/15,439,101.50 = 15,439,101.50/x
  3. Step 3: Cross multiply
    7,071,848x = 15,439,101.50 × 15,439,101.50
  4. Step 4: Simplify right side
    7,071,848x = 238,365,855,127,302.25
  5. Step 5: Solve for x
    x = 238,365,855,127,302.25/7,071,848
  6. Step 6: Final answer
    x = 33,706,303.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.