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Finding the Third Proportional to 1,237,847,920 and 1,851,864,045

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Solution

The third proportional to 1,237,847,920 and 1,851,864,045 is: 2,770,453,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,847,920 : 1,851,864,045 = 1,851,864,045 : x
  2. Step 2: Convert to fraction form
    1,237,847,920/1,851,864,045 = 1,851,864,045/x
  3. Step 3: Cross multiply
    1,237,847,920x = 1,851,864,045 × 1,851,864,045
  4. Step 4: Simplify right side
    1,237,847,920x = 3,429,400,441,163,762,176
  5. Step 5: Solve for x
    x = 3,429,400,441,163,762,176/1,237,847,920
  6. Step 6: Final answer
    x = 2,770,453,773.65

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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.