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Finding the Third Proportional to 543,525,486,583 and 1,182,477,825,412

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Solution

The third proportional to 543,525,486,583 and 1,182,477,825,412 is: 2,572,563,462,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,525,486,583 : 1,182,477,825,412 = 1,182,477,825,412 : x
  2. Step 2: Convert to fraction form
    543,525,486,583/1,182,477,825,412 = 1,182,477,825,412/x
  3. Step 3: Cross multiply
    543,525,486,583x = 1,182,477,825,412 × 1,182,477,825,412
  4. Step 4: Simplify right side
    543,525,486,583x = 1,398,253,807,591,092,301,856,768
  5. Step 5: Solve for x
    x = 1,398,253,807,591,092,301,856,768/543,525,486,583
  6. Step 6: Final answer
    x = 2,572,563,462,261.06

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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.