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Finding the Third Proportional to 39,461,994,092 and 92,081,168,315

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Solution

The third proportional to 39,461,994,092 and 92,081,168,315 is: 214,863,484,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,994,092 : 92,081,168,315 = 92,081,168,315 : x
  2. Step 2: Convert to fraction form
    39,461,994,092/92,081,168,315 = 92,081,168,315/x
  3. Step 3: Cross multiply
    39,461,994,092x = 92,081,168,315 × 92,081,168,315
  4. Step 4: Simplify right side
    39,461,994,092x = 8,478,941,558,255,360,409,600
  5. Step 5: Solve for x
    x = 8,478,941,558,255,360,409,600/39,461,994,092
  6. Step 6: Final answer
    x = 214,863,484,559.04

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.