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Finding the Third Proportional to 10,465,615,710 and 16,086,401,673

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Solution

The third proportional to 10,465,615,710 and 16,086,401,673 is: 24,725,952,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,615,710 : 16,086,401,673 = 16,086,401,673 : x
  2. Step 2: Convert to fraction form
    10,465,615,710/16,086,401,673 = 16,086,401,673/x
  3. Step 3: Cross multiply
    10,465,615,710x = 16,086,401,673 × 16,086,401,673
  4. Step 4: Simplify right side
    10,465,615,710x = 258,772,318,785,097,203,712
  5. Step 5: Solve for x
    x = 258,772,318,785,097,203,712/10,465,615,710
  6. Step 6: Final answer
    x = 24,725,952,677.38

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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.