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Finding the Third Proportional to 30,419,423 and 46,395,314

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Solution

The third proportional to 30,419,423 and 46,395,314 is: 70,761,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419,423 : 46,395,314 = 46,395,314 : x
  2. Step 2: Convert to fraction form
    30,419,423/46,395,314 = 46,395,314/x
  3. Step 3: Cross multiply
    30,419,423x = 46,395,314 × 46,395,314
  4. Step 4: Simplify right side
    30,419,423x = 2,152,525,161,158,596
  5. Step 5: Solve for x
    x = 2,152,525,161,158,596/30,419,423
  6. Step 6: Final answer
    x = 70,761,538.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.