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Finding the Third Proportional to 286,496,358 and 613,834,777.50

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Solution

The third proportional to 286,496,358 and 613,834,777.50 is: 1,315,175,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,496,358 : 613,834,777.50 = 613,834,777.50 : x
  2. Step 2: Convert to fraction form
    286,496,358/613,834,777.50 = 613,834,777.50/x
  3. Step 3: Cross multiply
    286,496,358x = 613,834,777.50 × 613,834,777.50
  4. Step 4: Simplify right side
    286,496,358x = 376,793,134,068,474,496
  5. Step 5: Solve for x
    x = 376,793,134,068,474,496/286,496,358
  6. Step 6: Final answer
    x = 1,315,175,999.79

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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.