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Finding the Third Proportional to 10,465,615,716 and 16,086,401,688

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Solution

The third proportional to 10,465,615,716 and 16,086,401,688 is: 24,725,952,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,615,716 : 16,086,401,688 = 16,086,401,688 : x
  2. Step 2: Convert to fraction form
    10,465,615,716/16,086,401,688 = 16,086,401,688/x
  3. Step 3: Cross multiply
    10,465,615,716x = 16,086,401,688 × 16,086,401,688
  4. Step 4: Simplify right side
    10,465,615,716x = 258,772,319,267,689,234,432
  5. Step 5: Solve for x
    x = 258,772,319,267,689,234,432/10,465,615,716
  6. Step 6: Final answer
    x = 24,725,952,709.32

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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.