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Finding the Third Proportional to 845,299,428 and 1,840,664,472

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Solution

The third proportional to 845,299,428 and 1,840,664,472 is: 4,008,101,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,299,428 : 1,840,664,472 = 1,840,664,472 : x
  2. Step 2: Convert to fraction form
    845,299,428/1,840,664,472 = 1,840,664,472/x
  3. Step 3: Cross multiply
    845,299,428x = 1,840,664,472 × 1,840,664,472
  4. Step 4: Simplify right side
    845,299,428x = 3,388,045,698,483,038,720
  5. Step 5: Solve for x
    x = 3,388,045,698,483,038,720/845,299,428
  6. Step 6: Final answer
    x = 4,008,101,255.31

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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.