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Finding the Third Proportional to 410,955,920,128.50 and 628,716,543,127.50

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Solution

The third proportional to 410,955,920,128.50 and 628,716,543,127.50 is: 961,865,913,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,955,920,128.50 : 628,716,543,127.50 = 628,716,543,127.50 : x
  2. Step 2: Convert to fraction form
    410,955,920,128.50/628,716,543,127.50 = 628,716,543,127.50/x
  3. Step 3: Cross multiply
    410,955,920,128.50x = 628,716,543,127.50 × 628,716,543,127.50
  4. Step 4: Simplify right side
    410,955,920,128.50x = 395,284,491,602,193,597,595,648
  5. Step 5: Solve for x
    x = 395,284,491,602,193,597,595,648/410,955,920,128.50
  6. Step 6: Final answer
    x = 961,865,913,693.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.