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Finding the Third Proportional to 6,478,713 and 14,174,106

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Solution

The third proportional to 6,478,713 and 14,174,106 is: 31,010,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,713 : 14,174,106 = 14,174,106 : x
  2. Step 2: Convert to fraction form
    6,478,713/14,174,106 = 14,174,106/x
  3. Step 3: Cross multiply
    6,478,713x = 14,174,106 × 14,174,106
  4. Step 4: Simplify right side
    6,478,713x = 200,905,280,899,236
  5. Step 5: Solve for x
    x = 200,905,280,899,236/6,478,713
  6. Step 6: Final answer
    x = 31,010,060.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.