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Finding the Third Proportional to 575,773,067,092 and 1,266,698,733,736

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Solution

The third proportional to 575,773,067,092 and 1,266,698,733,736 is: 2,786,732,783,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,773,067,092 : 1,266,698,733,736 = 1,266,698,733,736 : x
  2. Step 2: Convert to fraction form
    575,773,067,092/1,266,698,733,736 = 1,266,698,733,736/x
  3. Step 3: Cross multiply
    575,773,067,092x = 1,266,698,733,736 × 1,266,698,733,736
  4. Step 4: Simplify right side
    575,773,067,092x = 1,604,525,682,048,385,702,428,672
  5. Step 5: Solve for x
    x = 1,604,525,682,048,385,702,428,672/575,773,067,092
  6. Step 6: Final answer
    x = 2,786,732,783,720.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.