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Finding the Third Proportional to 286,506,850.50 and 613,860,846.75

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Solution

The third proportional to 286,506,850.50 and 613,860,846.75 is: 1,315,239,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,506,850.50 : 613,860,846.75 = 613,860,846.75 : x
  2. Step 2: Convert to fraction form
    286,506,850.50/613,860,846.75 = 613,860,846.75/x
  3. Step 3: Cross multiply
    286,506,850.50x = 613,860,846.75 × 613,860,846.75
  4. Step 4: Simplify right side
    286,506,850.50x = 376,825,139,172,627,008
  5. Step 5: Solve for x
    x = 376,825,139,172,627,008/286,506,850.50
  6. Step 6: Final answer
    x = 1,315,239,543.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.