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Finding the Third Proportional to 6,740,946 and 14,426,676

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Solution

The third proportional to 6,740,946 and 14,426,676 is: 30,875,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740,946 : 14,426,676 = 14,426,676 : x
  2. Step 2: Convert to fraction form
    6,740,946/14,426,676 = 14,426,676/x
  3. Step 3: Cross multiply
    6,740,946x = 14,426,676 × 14,426,676
  4. Step 4: Simplify right side
    6,740,946x = 208,128,980,408,976
  5. Step 5: Solve for x
    x = 208,128,980,408,976/6,740,946
  6. Step 6: Final answer
    x = 30,875,337.14

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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.