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Finding the Third Proportional to 21,586,032 and 45,968,640

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Solution

The third proportional to 21,586,032 and 45,968,640 is: 97,892,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586,032 : 45,968,640 = 45,968,640 : x
  2. Step 2: Convert to fraction form
    21,586,032/45,968,640 = 45,968,640/x
  3. Step 3: Cross multiply
    21,586,032x = 45,968,640 × 45,968,640
  4. Step 4: Simplify right side
    21,586,032x = 2,113,115,863,449,600
  5. Step 5: Solve for x
    x = 2,113,115,863,449,600/21,586,032
  6. Step 6: Final answer
    x = 97,892,742.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.