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Finding the Third Proportional to 2,165,922,355 and 4,747,066,207

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Solution

The third proportional to 2,165,922,355 and 4,747,066,207 is: 10,404,176,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,922,355 : 4,747,066,207 = 4,747,066,207 : x
  2. Step 2: Convert to fraction form
    2,165,922,355/4,747,066,207 = 4,747,066,207/x
  3. Step 3: Cross multiply
    2,165,922,355x = 4,747,066,207 × 4,747,066,207
  4. Step 4: Simplify right side
    2,165,922,355x = 22,534,637,573,641,367,552
  5. Step 5: Solve for x
    x = 22,534,637,573,641,367,552/2,165,922,355
  6. Step 6: Final answer
    x = 10,404,176,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.