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Finding the Third Proportional to 416,113,162 and 612,103,887

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Solution

The third proportional to 416,113,162 and 612,103,887 is: 900,406,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,113,162 : 612,103,887 = 612,103,887 : x
  2. Step 2: Convert to fraction form
    416,113,162/612,103,887 = 612,103,887/x
  3. Step 3: Cross multiply
    416,113,162x = 612,103,887 × 612,103,887
  4. Step 4: Simplify right side
    416,113,162x = 374,671,168,480,508,800
  5. Step 5: Solve for x
    x = 374,671,168,480,508,800/416,113,162
  6. Step 6: Final answer
    x = 900,406,914.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.