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Finding the Third Proportional to 4,518,073,224 and 6,603,720,108

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Solution

The third proportional to 4,518,073,224 and 6,603,720,108 is: 9,652,149,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518,073,224 : 6,603,720,108 = 6,603,720,108 : x
  2. Step 2: Convert to fraction form
    4,518,073,224/6,603,720,108 = 6,603,720,108/x
  3. Step 3: Cross multiply
    4,518,073,224x = 6,603,720,108 × 6,603,720,108
  4. Step 4: Simplify right side
    4,518,073,224x = 43,609,119,264,803,528,704
  5. Step 5: Solve for x
    x = 43,609,119,264,803,528,704/4,518,073,224
  6. Step 6: Final answer
    x = 9,652,149,733.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.