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Finding the Third Proportional to 908,577,054,153 and 1,962,222,872,853

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Solution

The third proportional to 908,577,054,153 and 1,962,222,872,853 is: 4,237,745,808,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,577,054,153 : 1,962,222,872,853 = 1,962,222,872,853 : x
  2. Step 2: Convert to fraction form
    908,577,054,153/1,962,222,872,853 = 1,962,222,872,853/x
  3. Step 3: Cross multiply
    908,577,054,153x = 1,962,222,872,853 × 1,962,222,872,853
  4. Step 4: Simplify right side
    908,577,054,153x = 3,850,318,602,747,480,618,565,632
  5. Step 5: Solve for x
    x = 3,850,318,602,747,480,618,565,632/908,577,054,153
  6. Step 6: Final answer
    x = 4,237,745,808,292.34

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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.