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Finding the Third Proportional to 845,914,158 and 1,293,184,602

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Solution

The third proportional to 845,914,158 and 1,293,184,602 is: 1,976,945,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,914,158 : 1,293,184,602 = 1,293,184,602 : x
  2. Step 2: Convert to fraction form
    845,914,158/1,293,184,602 = 1,293,184,602/x
  3. Step 3: Cross multiply
    845,914,158x = 1,293,184,602 × 1,293,184,602
  4. Step 4: Simplify right side
    845,914,158x = 1,672,326,414,849,898,496
  5. Step 5: Solve for x
    x = 1,672,326,414,849,898,496/845,914,158
  6. Step 6: Final answer
    x = 1,976,945,768.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.