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Finding the Third Proportional to 6,857,060 and 14,602,040

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Solution

The third proportional to 6,857,060 and 14,602,040 is: 31,094,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,060 : 14,602,040 = 14,602,040 : x
  2. Step 2: Convert to fraction form
    6,857,060/14,602,040 = 14,602,040/x
  3. Step 3: Cross multiply
    6,857,060x = 14,602,040 × 14,602,040
  4. Step 4: Simplify right side
    6,857,060x = 213,219,572,161,600
  5. Step 5: Solve for x
    x = 213,219,572,161,600/6,857,060
  6. Step 6: Final answer
    x = 31,094,896.67

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Why These Related Problems?

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