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Finding the Third Proportional to 6,901,146 and 14,516,210

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Solution

The third proportional to 6,901,146 and 14,516,210 is: 30,534,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901,146 : 14,516,210 = 14,516,210 : x
  2. Step 2: Convert to fraction form
    6,901,146/14,516,210 = 14,516,210/x
  3. Step 3: Cross multiply
    6,901,146x = 14,516,210 × 14,516,210
  4. Step 4: Simplify right side
    6,901,146x = 210,720,352,764,100
  5. Step 5: Solve for x
    x = 210,720,352,764,100/6,901,146
  6. Step 6: Final answer
    x = 30,534,110.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.