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Finding the Third Proportional to 9,971,033 and 21,689,095

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Solution

The third proportional to 9,971,033 and 21,689,095 is: 47,178,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,033 : 21,689,095 = 21,689,095 : x
  2. Step 2: Convert to fraction form
    9,971,033/21,689,095 = 21,689,095/x
  3. Step 3: Cross multiply
    9,971,033x = 21,689,095 × 21,689,095
  4. Step 4: Simplify right side
    9,971,033x = 470,416,841,919,025
  5. Step 5: Solve for x
    x = 470,416,841,919,025/9,971,033
  6. Step 6: Final answer
    x = 47,178,345.71

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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.