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Finding the Third Proportional to 559,341,288 and 846,782,100

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Solution

The third proportional to 559,341,288 and 846,782,100 is: 1,281,936,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,341,288 : 846,782,100 = 846,782,100 : x
  2. Step 2: Convert to fraction form
    559,341,288/846,782,100 = 846,782,100/x
  3. Step 3: Cross multiply
    559,341,288x = 846,782,100 × 846,782,100
  4. Step 4: Simplify right side
    559,341,288x = 717,039,924,880,409,984
  5. Step 5: Solve for x
    x = 717,039,924,880,409,984/559,341,288
  6. Step 6: Final answer
    x = 1,281,936,342.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.