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Finding the Third Proportional to 10,465,615,728 and 16,086,401,706

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Solution

The third proportional to 10,465,615,728 and 16,086,401,706 is: 24,725,952,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,615,728 : 16,086,401,706 = 16,086,401,706 : x
  2. Step 2: Convert to fraction form
    10,465,615,728/16,086,401,706 = 16,086,401,706/x
  3. Step 3: Cross multiply
    10,465,615,728x = 16,086,401,706 × 16,086,401,706
  4. Step 4: Simplify right side
    10,465,615,728x = 258,772,319,846,799,704,064
  5. Step 5: Solve for x
    x = 258,772,319,846,799,704,064/10,465,615,728
  6. Step 6: Final answer
    x = 24,725,952,736.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.