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Finding the Third Proportional to 10,465,615,704 and 16,086,401,664

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Solution

The third proportional to 10,465,615,704 and 16,086,401,664 is: 24,725,952,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,615,704 : 16,086,401,664 = 16,086,401,664 : x
  2. Step 2: Convert to fraction form
    10,465,615,704/16,086,401,664 = 16,086,401,664/x
  3. Step 3: Cross multiply
    10,465,615,704x = 16,086,401,664 × 16,086,401,664
  4. Step 4: Simplify right side
    10,465,615,704x = 258,772,318,495,541,952,512
  5. Step 5: Solve for x
    x = 258,772,318,495,541,952,512/10,465,615,704
  6. Step 6: Final answer
    x = 24,725,952,663.89

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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.