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Finding the Third Proportional to 349,971,817.85 and 749,862,334.05

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Solution

The third proportional to 349,971,817.85 and 749,862,334.05 is: 1,606,682,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,971,817.85 : 749,862,334.05 = 749,862,334.05 : x
  2. Step 2: Convert to fraction form
    349,971,817.85/749,862,334.05 = 749,862,334.05/x
  3. Step 3: Cross multiply
    349,971,817.85x = 749,862,334.05 × 749,862,334.05
  4. Step 4: Simplify right side
    349,971,817.85x = 562,293,520,033,962,496
  5. Step 5: Solve for x
    x = 562,293,520,033,962,496/349,971,817.85
  6. Step 6: Final answer
    x = 1,606,682,285.12

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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.