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Finding the Third Proportional to 791,331,364.50 and 1,685,009,409

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Solution

The third proportional to 791,331,364.50 and 1,685,009,409 is: 3,587,949,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,331,364.50 : 1,685,009,409 = 1,685,009,409 : x
  2. Step 2: Convert to fraction form
    791,331,364.50/1,685,009,409 = 1,685,009,409/x
  3. Step 3: Cross multiply
    791,331,364.50x = 1,685,009,409 × 1,685,009,409
  4. Step 4: Simplify right side
    791,331,364.50x = 2,839,256,708,418,529,280
  5. Step 5: Solve for x
    x = 2,839,256,708,418,529,280/791,331,364.50
  6. Step 6: Final answer
    x = 3,587,949,164.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.