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Finding the Third Proportional to 6,740,944 and 14,426,672

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Solution

The third proportional to 6,740,944 and 14,426,672 is: 30,875,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740,944 : 14,426,672 = 14,426,672 : x
  2. Step 2: Convert to fraction form
    6,740,944/14,426,672 = 14,426,672/x
  3. Step 3: Cross multiply
    6,740,944x = 14,426,672 × 14,426,672
  4. Step 4: Simplify right side
    6,740,944x = 208,128,864,995,584
  5. Step 5: Solve for x
    x = 208,128,864,995,584/6,740,944
  6. Step 6: Final answer
    x = 30,875,329.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.