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Finding the Third Proportional to 608,126,004 and 1,327,721,762.25

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Solution

The third proportional to 608,126,004 and 1,327,721,762.25 is: 2,898,815,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,126,004 : 1,327,721,762.25 = 1,327,721,762.25 : x
  2. Step 2: Convert to fraction form
    608,126,004/1,327,721,762.25 = 1,327,721,762.25/x
  3. Step 3: Cross multiply
    608,126,004x = 1,327,721,762.25 × 1,327,721,762.25
  4. Step 4: Simplify right side
    608,126,004x = 1,762,845,077,952,245,504
  5. Step 5: Solve for x
    x = 1,762,845,077,952,245,504/608,126,004
  6. Step 6: Final answer
    x = 2,898,815,486.19

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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.