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Finding the Third Proportional to 872,203,366.50 and 1,913,875,522.50

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Solution

The third proportional to 872,203,366.50 and 1,913,875,522.50 is: 4,199,616,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,203,366.50 : 1,913,875,522.50 = 1,913,875,522.50 : x
  2. Step 2: Convert to fraction form
    872,203,366.50/1,913,875,522.50 = 1,913,875,522.50/x
  3. Step 3: Cross multiply
    872,203,366.50x = 1,913,875,522.50 × 1,913,875,522.50
  4. Step 4: Simplify right side
    872,203,366.50x = 3,662,919,515,624,648,192
  5. Step 5: Solve for x
    x = 3,662,919,515,624,648,192/872,203,366.50
  6. Step 6: Final answer
    x = 4,199,616,346.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.