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Finding the Third Proportional to 32,284,114,998 and 45,443,337,150

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Solution

The third proportional to 32,284,114,998 and 45,443,337,150 is: 63,966,346,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284,114,998 : 45,443,337,150 = 45,443,337,150 : x
  2. Step 2: Convert to fraction form
    32,284,114,998/45,443,337,150 = 45,443,337,150/x
  3. Step 3: Cross multiply
    32,284,114,998x = 45,443,337,150 × 45,443,337,150
  4. Step 4: Simplify right side
    32,284,114,998x = 2,065,096,891,328,570,064,896
  5. Step 5: Solve for x
    x = 2,065,096,891,328,570,064,896/32,284,114,998
  6. Step 6: Final answer
    x = 63,966,346,652.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.