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Finding the Third Proportional to 5,742,031,932 and 8,603,468,496

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Solution

The third proportional to 5,742,031,932 and 8,603,468,496 is: 12,890,849,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,031,932 : 8,603,468,496 = 8,603,468,496 : x
  2. Step 2: Convert to fraction form
    5,742,031,932/8,603,468,496 = 8,603,468,496/x
  3. Step 3: Cross multiply
    5,742,031,932x = 8,603,468,496 × 8,603,468,496
  4. Step 4: Simplify right side
    5,742,031,932x = 74,019,670,161,664,507,904
  5. Step 5: Solve for x
    x = 74,019,670,161,664,507,904/5,742,031,932
  6. Step 6: Final answer
    x = 12,890,849,622.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.