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Finding the Third Proportional to 543,525,486,570 and 1,182,477,825,385

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Solution

The third proportional to 543,525,486,570 and 1,182,477,825,385 is: 2,572,563,462,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,525,486,570 : 1,182,477,825,385 = 1,182,477,825,385 : x
  2. Step 2: Convert to fraction form
    543,525,486,570/1,182,477,825,385 = 1,182,477,825,385/x
  3. Step 3: Cross multiply
    543,525,486,570x = 1,182,477,825,385 × 1,182,477,825,385
  4. Step 4: Simplify right side
    543,525,486,570x = 1,398,253,807,527,238,486,196,224
  5. Step 5: Solve for x
    x = 1,398,253,807,527,238,486,196,224/543,525,486,570
  6. Step 6: Final answer
    x = 2,572,563,462,205.11

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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.