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Finding the Third Proportional to 344,795,388.19 and 766,118,280.38

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Solution

The third proportional to 344,795,388.19 and 766,118,280.38 is: 1,702,276,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,388.19 : 766,118,280.38 = 766,118,280.38 : x
  2. Step 2: Convert to fraction form
    344,795,388.19/766,118,280.38 = 766,118,280.38/x
  3. Step 3: Cross multiply
    344,795,388.19x = 766,118,280.38 × 766,118,280.38
  4. Step 4: Simplify right side
    344,795,388.19x = 586,937,219,524,747,136
  5. Step 5: Solve for x
    x = 586,937,219,524,747,136/344,795,388.19
  6. Step 6: Final answer
    x = 1,702,276,885.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.