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Finding the Third Proportional to 525,187,416 and 1,215,715,404

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Solution

The third proportional to 525,187,416 and 1,215,715,404 is: 2,814,164,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,187,416 : 1,215,715,404 = 1,215,715,404 : x
  2. Step 2: Convert to fraction form
    525,187,416/1,215,715,404 = 1,215,715,404/x
  3. Step 3: Cross multiply
    525,187,416x = 1,215,715,404 × 1,215,715,404
  4. Step 4: Simplify right side
    525,187,416x = 1,477,963,943,522,883,328
  5. Step 5: Solve for x
    x = 1,477,963,943,522,883,328/525,187,416
  6. Step 6: Final answer
    x = 2,814,164,807.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.