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Finding the Third Proportional to 1,931,560,998 and 4,184,011,097.25

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Solution

The third proportional to 1,931,560,998 and 4,184,011,097.25 is: 9,063,109,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,560,998 : 4,184,011,097.25 = 4,184,011,097.25 : x
  2. Step 2: Convert to fraction form
    1,931,560,998/4,184,011,097.25 = 4,184,011,097.25/x
  3. Step 3: Cross multiply
    1,931,560,998x = 4,184,011,097.25 × 4,184,011,097.25
  4. Step 4: Simplify right side
    1,931,560,998x = 17,505,948,861,911,148,544
  5. Step 5: Solve for x
    x = 17,505,948,861,911,148,544/1,931,560,998
  6. Step 6: Final answer
    x = 9,063,109,516.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.