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Finding the Third Proportional to 344,795,436 and 766,118,380.50

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Solution

The third proportional to 344,795,436 and 766,118,380.50 is: 1,702,277,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,436 : 766,118,380.50 = 766,118,380.50 : x
  2. Step 2: Convert to fraction form
    344,795,436/766,118,380.50 = 766,118,380.50/x
  3. Step 3: Cross multiply
    344,795,436x = 766,118,380.50 × 766,118,380.50
  4. Step 4: Simplify right side
    344,795,436x = 586,937,372,939,942,784
  5. Step 5: Solve for x
    x = 586,937,372,939,942,784/344,795,436
  6. Step 6: Final answer
    x = 1,702,277,094.35

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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.