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Finding the Third Proportional to 3,278,895,558 and 5,036,742,657

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Solution

The third proportional to 3,278,895,558 and 5,036,742,657 is: 7,736,988,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,895,558 : 5,036,742,657 = 5,036,742,657 : x
  2. Step 2: Convert to fraction form
    3,278,895,558/5,036,742,657 = 5,036,742,657/x
  3. Step 3: Cross multiply
    3,278,895,558x = 5,036,742,657 × 5,036,742,657
  4. Step 4: Simplify right side
    3,278,895,558x = 25,368,776,592,843,419,648
  5. Step 5: Solve for x
    x = 25,368,776,592,843,419,648/3,278,895,558
  6. Step 6: Final answer
    x = 7,736,988,307.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.