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Finding the Third Proportional to 477,820,866 and 1,126,356,632.25

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Solution

The third proportional to 477,820,866 and 1,126,356,632.25 is: 2,655,135,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,820,866 : 1,126,356,632.25 = 1,126,356,632.25 : x
  2. Step 2: Convert to fraction form
    477,820,866/1,126,356,632.25 = 1,126,356,632.25/x
  3. Step 3: Cross multiply
    477,820,866x = 1,126,356,632.25 × 1,126,356,632.25
  4. Step 4: Simplify right side
    477,820,866x = 1,268,679,263,013,561,856
  5. Step 5: Solve for x
    x = 1,268,679,263,013,561,856/477,820,866
  6. Step 6: Final answer
    x = 2,655,135,749.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.