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Finding the Third Proportional to 3,628,507,699,494 and 7,774,572,472,704

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Solution

The third proportional to 3,628,507,699,494 and 7,774,572,472,704 is: 16,658,081,541,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628,507,699,494 : 7,774,572,472,704 = 7,774,572,472,704 : x
  2. Step 2: Convert to fraction form
    3,628,507,699,494/7,774,572,472,704 = 7,774,572,472,704/x
  3. Step 3: Cross multiply
    3,628,507,699,494x = 7,774,572,472,704 × 7,774,572,472,704
  4. Step 4: Simplify right side
    3,628,507,699,494x = 60,443,977,133,326,789,387,485,184
  5. Step 5: Solve for x
    x = 60,443,977,133,326,789,387,485,184/3,628,507,699,494
  6. Step 6: Final answer
    x = 16,658,081,541,829.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.