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Finding the Third Proportional to 29,941,030 and 64,963,972

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Solution

The third proportional to 29,941,030 and 64,963,972 is: 140,954,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941,030 : 64,963,972 = 64,963,972 : x
  2. Step 2: Convert to fraction form
    29,941,030/64,963,972 = 64,963,972/x
  3. Step 3: Cross multiply
    29,941,030x = 64,963,972 × 64,963,972
  4. Step 4: Simplify right side
    29,941,030x = 4,220,317,658,016,784
  5. Step 5: Solve for x
    x = 4,220,317,658,016,784/29,941,030
  6. Step 6: Final answer
    x = 140,954,324.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.