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Finding the Third Proportional to 6,078,376 and 12,970,316

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Solution

The third proportional to 6,078,376 and 12,970,316 is: 27,676,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,376 : 12,970,316 = 12,970,316 : x
  2. Step 2: Convert to fraction form
    6,078,376/12,970,316 = 12,970,316/x
  3. Step 3: Cross multiply
    6,078,376x = 12,970,316 × 12,970,316
  4. Step 4: Simplify right side
    6,078,376x = 168,229,097,139,856
  5. Step 5: Solve for x
    x = 168,229,097,139,856/6,078,376
  6. Step 6: Final answer
    x = 27,676,651.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.