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Finding the Third Proportional to 3,615,780 and 7,785,066

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Solution

The third proportional to 3,615,780 and 7,785,066 is: 16,761,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,780 : 7,785,066 = 7,785,066 : x
  2. Step 2: Convert to fraction form
    3,615,780/7,785,066 = 7,785,066/x
  3. Step 3: Cross multiply
    3,615,780x = 7,785,066 × 7,785,066
  4. Step 4: Simplify right side
    3,615,780x = 60,607,252,624,356
  5. Step 5: Solve for x
    x = 60,607,252,624,356/3,615,780
  6. Step 6: Final answer
    x = 16,761,875.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.