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Finding the Third Proportional to 845,401,376.25 and 1,358,978,293.13

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Solution

The third proportional to 845,401,376.25 and 1,358,978,293.13 is: 2,184,550,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,401,376.25 : 1,358,978,293.13 = 1,358,978,293.13 : x
  2. Step 2: Convert to fraction form
    845,401,376.25/1,358,978,293.13 = 1,358,978,293.13/x
  3. Step 3: Cross multiply
    845,401,376.25x = 1,358,978,293.13 × 1,358,978,293.13
  4. Step 4: Simplify right side
    845,401,376.25x = 1,846,822,001,184,938,496
  5. Step 5: Solve for x
    x = 1,846,822,001,184,938,496/845,401,376.25
  6. Step 6: Final answer
    x = 2,184,550,502.36

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.