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Finding the Third Proportional to 366,438,536 and 798,720,349.50

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Solution

The third proportional to 366,438,536 and 798,720,349.50 is: 1,740,958,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,438,536 : 798,720,349.50 = 798,720,349.50 : x
  2. Step 2: Convert to fraction form
    366,438,536/798,720,349.50 = 798,720,349.50/x
  3. Step 3: Cross multiply
    366,438,536x = 798,720,349.50 × 798,720,349.50
  4. Step 4: Simplify right side
    366,438,536x = 637,954,196,705,402,112
  5. Step 5: Solve for x
    x = 637,954,196,705,402,112/366,438,536
  6. Step 6: Final answer
    x = 1,740,958,261.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.