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Finding the Third Proportional to 4,631,012,872,672.40 and 7,006,080,479,944.50

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Solution

The third proportional to 4,631,012,872,672.40 and 7,006,080,479,944.50 is: 10,599,228,514,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,012,872,672.40 : 7,006,080,479,944.50 = 7,006,080,479,944.50 : x
  2. Step 2: Convert to fraction form
    4,631,012,872,672.40/7,006,080,479,944.50 = 7,006,080,479,944.50/x
  3. Step 3: Cross multiply
    4,631,012,872,672.40x = 7,006,080,479,944.50 × 7,006,080,479,944.50
  4. Step 4: Simplify right side
    4,631,012,872,672.40x = 49,085,163,691,459,359,291,736,064
  5. Step 5: Solve for x
    x = 49,085,163,691,459,359,291,736,064/4,631,012,872,672.40
  6. Step 6: Final answer
    x = 10,599,228,514,589.29

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