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Finding the Third Proportional to 19,802,684 and 31,509,964

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Solution

The third proportional to 19,802,684 and 31,509,964 is: 50,138,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802,684 : 31,509,964 = 31,509,964 : x
  2. Step 2: Convert to fraction form
    19,802,684/31,509,964 = 31,509,964/x
  3. Step 3: Cross multiply
    19,802,684x = 31,509,964 × 31,509,964
  4. Step 4: Simplify right side
    19,802,684x = 992,877,831,281,296
  5. Step 5: Solve for x
    x = 992,877,831,281,296/19,802,684
  6. Step 6: Final answer
    x = 50,138,548.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.