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Finding the Third Proportional to 845,911,810 and 1,293,181,136

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Solution

The third proportional to 845,911,810 and 1,293,181,136 is: 1,976,940,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,911,810 : 1,293,181,136 = 1,293,181,136 : x
  2. Step 2: Convert to fraction form
    845,911,810/1,293,181,136 = 1,293,181,136/x
  3. Step 3: Cross multiply
    845,911,810x = 1,293,181,136 × 1,293,181,136
  4. Step 4: Simplify right side
    845,911,810x = 1,672,317,450,506,250,496
  5. Step 5: Solve for x
    x = 1,672,317,450,506,250,496/845,911,810
  6. Step 6: Final answer
    x = 1,976,940,658.28

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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.