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Finding the Third Proportional to 45,264,925,648 and 95,220,664,484

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Solution

The third proportional to 45,264,925,648 and 95,220,664,484 is: 200,309,065,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,264,925,648 : 95,220,664,484 = 95,220,664,484 : x
  2. Step 2: Convert to fraction form
    45,264,925,648/95,220,664,484 = 95,220,664,484/x
  3. Step 3: Cross multiply
    45,264,925,648x = 95,220,664,484 × 95,220,664,484
  4. Step 4: Simplify right side
    45,264,925,648x = 9,066,974,944,774,499,336,192
  5. Step 5: Solve for x
    x = 9,066,974,944,774,499,336,192/45,264,925,648
  6. Step 6: Final answer
    x = 200,309,065,241.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.