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Finding the Third Proportional to 22,111,848 and 47,845,584

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Solution

The third proportional to 22,111,848 and 47,845,584 is: 103,528,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111,848 : 47,845,584 = 47,845,584 : x
  2. Step 2: Convert to fraction form
    22,111,848/47,845,584 = 47,845,584/x
  3. Step 3: Cross multiply
    22,111,848x = 47,845,584 × 47,845,584
  4. Step 4: Simplify right side
    22,111,848x = 2,289,199,908,301,056
  5. Step 5: Solve for x
    x = 2,289,199,908,301,056/22,111,848
  6. Step 6: Final answer
    x = 103,528,203.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.