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Finding the Third Proportional to 4,600,421,594 and 6,578,653,503

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Solution

The third proportional to 4,600,421,594 and 6,578,653,503 is: 9,407,546,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,421,594 : 6,578,653,503 = 6,578,653,503 : x
  2. Step 2: Convert to fraction form
    4,600,421,594/6,578,653,503 = 6,578,653,503/x
  3. Step 3: Cross multiply
    4,600,421,594x = 6,578,653,503 × 6,578,653,503
  4. Step 4: Simplify right side
    4,600,421,594x = 43,278,681,912,534,171,648
  5. Step 5: Solve for x
    x = 43,278,681,912,534,171,648/4,600,421,594
  6. Step 6: Final answer
    x = 9,407,546,901.57

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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.