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Finding the Third Proportional to 4,464,457 and 9,689,987

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Solution

The third proportional to 4,464,457 and 9,689,987 is: 21,031,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,457 : 9,689,987 = 9,689,987 : x
  2. Step 2: Convert to fraction form
    4,464,457/9,689,987 = 9,689,987/x
  3. Step 3: Cross multiply
    4,464,457x = 9,689,987 × 9,689,987
  4. Step 4: Simplify right side
    4,464,457x = 93,895,848,060,169
  5. Step 5: Solve for x
    x = 93,895,848,060,169/4,464,457
  6. Step 6: Final answer
    x = 21,031,863.01

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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.