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Finding the Third Proportional to 42,415,035,692 and 92,276,885,640

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Solution

The third proportional to 42,415,035,692 and 92,276,885,640 is: 200,754,838,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415,035,692 : 92,276,885,640 = 92,276,885,640 : x
  2. Step 2: Convert to fraction form
    42,415,035,692/92,276,885,640 = 92,276,885,640/x
  3. Step 3: Cross multiply
    42,415,035,692x = 92,276,885,640 × 92,276,885,640
  4. Step 4: Simplify right side
    42,415,035,692x = 8,515,023,623,417,638,158,336
  5. Step 5: Solve for x
    x = 8,515,023,623,417,638,158,336/42,415,035,692
  6. Step 6: Final answer
    x = 200,754,838,101.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.