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Finding the Third Proportional to 5,782,075,086 and 7,801,376,787

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Solution

The third proportional to 5,782,075,086 and 7,801,376,787 is: 10,525,888,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,075,086 : 7,801,376,787 = 7,801,376,787 : x
  2. Step 2: Convert to fraction form
    5,782,075,086/7,801,376,787 = 7,801,376,787/x
  3. Step 3: Cross multiply
    5,782,075,086x = 7,801,376,787 × 7,801,376,787
  4. Step 4: Simplify right side
    5,782,075,086x = 60,861,479,772,742,443,008
  5. Step 5: Solve for x
    x = 60,861,479,772,742,443,008/5,782,075,086
  6. Step 6: Final answer
    x = 10,525,888,866.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.