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Finding the Third Proportional to 5,877,410 and 9,078,142

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Solution

The third proportional to 5,877,410 and 9,078,142 is: 14,021,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,410 : 9,078,142 = 9,078,142 : x
  2. Step 2: Convert to fraction form
    5,877,410/9,078,142 = 9,078,142/x
  3. Step 3: Cross multiply
    5,877,410x = 9,078,142 × 9,078,142
  4. Step 4: Simplify right side
    5,877,410x = 82,412,662,172,164
  5. Step 5: Solve for x
    x = 82,412,662,172,164/5,877,410
  6. Step 6: Final answer
    x = 14,021,935.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.