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Finding the Third Proportional to 575,773,067,090.25 and 1,266,698,733,732

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Solution

The third proportional to 575,773,067,090.25 and 1,266,698,733,732 is: 2,786,732,783,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,773,067,090.25 : 1,266,698,733,732 = 1,266,698,733,732 : x
  2. Step 2: Convert to fraction form
    575,773,067,090.25/1,266,698,733,732 = 1,266,698,733,732/x
  3. Step 3: Cross multiply
    575,773,067,090.25x = 1,266,698,733,732 × 1,266,698,733,732
  4. Step 4: Simplify right side
    575,773,067,090.25x = 1,604,525,682,038,252,263,964,672
  5. Step 5: Solve for x
    x = 1,604,525,682,038,252,263,964,672/575,773,067,090.25
  6. Step 6: Final answer
    x = 2,786,732,783,711.03

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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.