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Finding the Third Proportional to 1,533,473,864 and 2,192,884,500

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Solution

The third proportional to 1,533,473,864 and 2,192,884,500 is: 3,135,848,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,473,864 : 2,192,884,500 = 2,192,884,500 : x
  2. Step 2: Convert to fraction form
    1,533,473,864/2,192,884,500 = 2,192,884,500/x
  3. Step 3: Cross multiply
    1,533,473,864x = 2,192,884,500 × 2,192,884,500
  4. Step 4: Simplify right side
    1,533,473,864x = 4,808,742,430,340,249,600
  5. Step 5: Solve for x
    x = 4,808,742,430,340,249,600/1,533,473,864
  6. Step 6: Final answer
    x = 3,135,848,965.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.