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Finding the Third Proportional to 9,971,031 and 21,689,091

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Solution

The third proportional to 9,971,031 and 21,689,091 is: 47,178,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,031 : 21,689,091 = 21,689,091 : x
  2. Step 2: Convert to fraction form
    9,971,031/21,689,091 = 21,689,091/x
  3. Step 3: Cross multiply
    9,971,031x = 21,689,091 × 21,689,091
  4. Step 4: Simplify right side
    9,971,031x = 470,416,668,406,281
  5. Step 5: Solve for x
    x = 470,416,668,406,281/9,971,031
  6. Step 6: Final answer
    x = 47,178,337.77

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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.