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Finding the Third Proportional to 908,577,054,166 and 1,962,222,872,881

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Solution

The third proportional to 908,577,054,166 and 1,962,222,872,881 is: 4,237,745,808,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,577,054,166 : 1,962,222,872,881 = 1,962,222,872,881 : x
  2. Step 2: Convert to fraction form
    908,577,054,166/1,962,222,872,881 = 1,962,222,872,881/x
  3. Step 3: Cross multiply
    908,577,054,166x = 1,962,222,872,881 × 1,962,222,872,881
  4. Step 4: Simplify right side
    908,577,054,166x = 3,850,318,602,857,365,209,350,144
  5. Step 5: Solve for x
    x = 3,850,318,602,857,365,209,350,144/908,577,054,166
  6. Step 6: Final answer
    x = 4,237,745,808,352.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.