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Finding the Third Proportional to 644,178,354,480 and 1,401,455,200,511.20

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Solution

The third proportional to 644,178,354,480 and 1,401,455,200,511.20 is: 3,048,964,103,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,178,354,480 : 1,401,455,200,511.20 = 1,401,455,200,511.20 : x
  2. Step 2: Convert to fraction form
    644,178,354,480/1,401,455,200,511.20 = 1,401,455,200,511.20/x
  3. Step 3: Cross multiply
    644,178,354,480x = 1,401,455,200,511.20 × 1,401,455,200,511.20
  4. Step 4: Simplify right side
    644,178,354,480x = 1,964,076,679,039,887,635,120,128
  5. Step 5: Solve for x
    x = 1,964,076,679,039,887,635,120,128/644,178,354,480
  6. Step 6: Final answer
    x = 3,048,964,103,466.89

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Why These Related Problems?

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