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Finding the Third Proportional to 349,972,241.20 and 749,863,185.50

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Solution

The third proportional to 349,972,241.20 and 749,863,185.50 is: 1,606,683,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,972,241.20 : 749,863,185.50 = 749,863,185.50 : x
  2. Step 2: Convert to fraction form
    349,972,241.20/749,863,185.50 = 749,863,185.50/x
  3. Step 3: Cross multiply
    349,972,241.20x = 749,863,185.50 × 749,863,185.50
  4. Step 4: Simplify right side
    349,972,241.20x = 562,294,796,974,056,448
  5. Step 5: Solve for x
    x = 562,294,796,974,056,448/349,972,241.20
  6. Step 6: Final answer
    x = 1,606,683,990.25

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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.