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Finding the Third Proportional to 2,752,928,161 and 4,208,390,606

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Solution

The third proportional to 2,752,928,161 and 4,208,390,606 is: 6,433,350,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,928,161 : 4,208,390,606 = 4,208,390,606 : x
  2. Step 2: Convert to fraction form
    2,752,928,161/4,208,390,606 = 4,208,390,606/x
  3. Step 3: Cross multiply
    2,752,928,161x = 4,208,390,606 × 4,208,390,606
  4. Step 4: Simplify right side
    2,752,928,161x = 17,710,551,492,669,046,784
  5. Step 5: Solve for x
    x = 17,710,551,492,669,046,784/2,752,928,161
  6. Step 6: Final answer
    x = 6,433,350,402.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.