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Finding the Third Proportional to 845,299,430 and 1,840,664,476

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Solution

The third proportional to 845,299,430 and 1,840,664,476 is: 4,008,101,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,299,430 : 1,840,664,476 = 1,840,664,476 : x
  2. Step 2: Convert to fraction form
    845,299,430/1,840,664,476 = 1,840,664,476/x
  3. Step 3: Cross multiply
    845,299,430x = 1,840,664,476 × 1,840,664,476
  4. Step 4: Simplify right side
    845,299,430x = 3,388,045,713,208,354,816
  5. Step 5: Solve for x
    x = 3,388,045,713,208,354,816/845,299,430
  6. Step 6: Final answer
    x = 4,008,101,263.25

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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.