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Finding the Third Proportional to 30,671,499 and 65,652,483

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Solution

The third proportional to 30,671,499 and 65,652,483 is: 140,529,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671,499 : 65,652,483 = 65,652,483 : x
  2. Step 2: Convert to fraction form
    30,671,499/65,652,483 = 65,652,483/x
  3. Step 3: Cross multiply
    30,671,499x = 65,652,483 × 65,652,483
  4. Step 4: Simplify right side
    30,671,499x = 4,310,248,524,065,289
  5. Step 5: Solve for x
    x = 4,310,248,524,065,289/30,671,499
  6. Step 6: Final answer
    x = 140,529,438.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.