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Finding the Third Proportional to 21,215,409,948 and 46,197,408,456

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Solution

The third proportional to 21,215,409,948 and 46,197,408,456 is: 100,596,714,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215,409,948 : 46,197,408,456 = 46,197,408,456 : x
  2. Step 2: Convert to fraction form
    21,215,409,948/46,197,408,456 = 46,197,408,456/x
  3. Step 3: Cross multiply
    21,215,409,948x = 46,197,408,456 × 46,197,408,456
  4. Step 4: Simplify right side
    21,215,409,948x = 2,134,200,548,050,500,321,280
  5. Step 5: Solve for x
    x = 2,134,200,548,050,500,321,280/21,215,409,948
  6. Step 6: Final answer
    x = 100,596,714,995.45

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