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Finding the Third Proportional to 624,615,426 and 1,356,756,165

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Solution

The third proportional to 624,615,426 and 1,356,756,165 is: 2,947,073,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,615,426 : 1,356,756,165 = 1,356,756,165 : x
  2. Step 2: Convert to fraction form
    624,615,426/1,356,756,165 = 1,356,756,165/x
  3. Step 3: Cross multiply
    624,615,426x = 1,356,756,165 × 1,356,756,165
  4. Step 4: Simplify right side
    624,615,426x = 1,840,787,291,265,507,328
  5. Step 5: Solve for x
    x = 1,840,787,291,265,507,328/624,615,426
  6. Step 6: Final answer
    x = 2,947,073,054.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.