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Finding the Third Proportional to 9,971,006 and 21,689,038

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Solution

The third proportional to 9,971,006 and 21,689,038 is: 47,178,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,006 : 21,689,038 = 21,689,038 : x
  2. Step 2: Convert to fraction form
    9,971,006/21,689,038 = 21,689,038/x
  3. Step 3: Cross multiply
    9,971,006x = 21,689,038 × 21,689,038
  4. Step 4: Simplify right side
    9,971,006x = 470,414,369,365,444
  5. Step 5: Solve for x
    x = 470,414,369,365,444/9,971,006
  6. Step 6: Final answer
    x = 47,178,225.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.