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Finding the Third Proportional to 9,699,068 and 16,164,460

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Solution

The third proportional to 9,699,068 and 16,164,460 is: 26,939,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,068 : 16,164,460 = 16,164,460 : x
  2. Step 2: Convert to fraction form
    9,699,068/16,164,460 = 16,164,460/x
  3. Step 3: Cross multiply
    9,699,068x = 16,164,460 × 16,164,460
  4. Step 4: Simplify right side
    9,699,068x = 261,289,767,091,600
  5. Step 5: Solve for x
    x = 261,289,767,091,600/9,699,068
  6. Step 6: Final answer
    x = 26,939,677.82

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.