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Finding the Third Proportional to 21,008,154,732 and 45,370,595,253

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Solution

The third proportional to 21,008,154,732 and 45,370,595,253 is: 97,985,327,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008,154,732 : 45,370,595,253 = 45,370,595,253 : x
  2. Step 2: Convert to fraction form
    21,008,154,732/45,370,595,253 = 45,370,595,253/x
  3. Step 3: Cross multiply
    21,008,154,732x = 45,370,595,253 × 45,370,595,253
  4. Step 4: Simplify right side
    21,008,154,732x = 2,058,490,913,611,546,099,712
  5. Step 5: Solve for x
    x = 2,058,490,913,611,546,099,712/21,008,154,732
  6. Step 6: Final answer
    x = 97,985,327,120.43

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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.