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Finding the Third Proportional to 435,311,366,875.78 and 947,050,416,561.60

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Solution

The third proportional to 435,311,366,875.78 and 947,050,416,561.60 is: 2,060,374,618,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,311,366,875.78 : 947,050,416,561.60 = 947,050,416,561.60 : x
  2. Step 2: Convert to fraction form
    435,311,366,875.78/947,050,416,561.60 = 947,050,416,561.60/x
  3. Step 3: Cross multiply
    435,311,366,875.78x = 947,050,416,561.60 × 947,050,416,561.60
  4. Step 4: Simplify right side
    435,311,366,875.78x = 896,904,491,509,499,994,046,464
  5. Step 5: Solve for x
    x = 896,904,491,509,499,994,046,464/435,311,366,875.78
  6. Step 6: Final answer
    x = 2,060,374,618,624.28

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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.