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Finding the Third Proportional to 21,689,964 and 31,703,724

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Solution

The third proportional to 21,689,964 and 31,703,724 is: 46,340,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689,964 : 31,703,724 = 31,703,724 : x
  2. Step 2: Convert to fraction form
    21,689,964/31,703,724 = 31,703,724/x
  3. Step 3: Cross multiply
    21,689,964x = 31,703,724 × 31,703,724
  4. Step 4: Simplify right side
    21,689,964x = 1,005,126,115,468,176
  5. Step 5: Solve for x
    x = 1,005,126,115,468,176/21,689,964
  6. Step 6: Final answer
    x = 46,340,607.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.