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Finding the Third Proportional to 30,532,311 and 65,847,456

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Solution

The third proportional to 30,532,311 and 65,847,456 is: 142,009,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,311 : 65,847,456 = 65,847,456 : x
  2. Step 2: Convert to fraction form
    30,532,311/65,847,456 = 65,847,456/x
  3. Step 3: Cross multiply
    30,532,311x = 65,847,456 × 65,847,456
  4. Step 4: Simplify right side
    30,532,311x = 4,335,887,461,671,936
  5. Step 5: Solve for x
    x = 4,335,887,461,671,936/30,532,311
  6. Step 6: Final answer
    x = 142,009,802.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.