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Finding the Third Proportional to 4,721,829.19 and 10,166,051.81

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Solution

The third proportional to 4,721,829.19 and 10,166,051.81 is: 21,887,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721,829.19 : 10,166,051.81 = 10,166,051.81 : x
  2. Step 2: Convert to fraction form
    4,721,829.19/10,166,051.81 = 10,166,051.81/x
  3. Step 3: Cross multiply
    4,721,829.19x = 10,166,051.81 × 10,166,051.81
  4. Step 4: Simplify right side
    4,721,829.19x = 103,348,609,454,434.53
  5. Step 5: Solve for x
    x = 103,348,609,454,434.53/4,721,829.19
  6. Step 6: Final answer
    x = 21,887,409.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.