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Finding the Third Proportional to 286,594,550 and 429,441,787

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Solution

The third proportional to 286,594,550 and 429,441,787 is: 643,488,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594,550 : 429,441,787 = 429,441,787 : x
  2. Step 2: Convert to fraction form
    286,594,550/429,441,787 = 429,441,787/x
  3. Step 3: Cross multiply
    286,594,550x = 429,441,787 × 429,441,787
  4. Step 4: Simplify right side
    286,594,550x = 184,420,248,421,753,376
  5. Step 5: Solve for x
    x = 184,420,248,421,753,376/286,594,550
  6. Step 6: Final answer
    x = 643,488,330.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.