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Finding the Third Proportional to 543,525,486,574 and 1,182,477,825,393

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Solution

The third proportional to 543,525,486,574 and 1,182,477,825,393 is: 2,572,563,462,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,525,486,574 : 1,182,477,825,393 = 1,182,477,825,393 : x
  2. Step 2: Convert to fraction form
    543,525,486,574/1,182,477,825,393 = 1,182,477,825,393/x
  3. Step 3: Cross multiply
    543,525,486,574x = 1,182,477,825,393 × 1,182,477,825,393
  4. Step 4: Simplify right side
    543,525,486,574x = 1,398,253,807,546,158,085,570,560
  5. Step 5: Solve for x
    x = 1,398,253,807,546,158,085,570,560/543,525,486,574
  6. Step 6: Final answer
    x = 2,572,563,462,220.99

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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.