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Finding the Third Proportional to 10,465,615,714 and 16,086,401,680

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Solution

The third proportional to 10,465,615,714 and 16,086,401,680 is: 24,725,952,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,615,714 : 16,086,401,680 = 16,086,401,680 : x
  2. Step 2: Convert to fraction form
    10,465,615,714/16,086,401,680 = 16,086,401,680/x
  3. Step 3: Cross multiply
    10,465,615,714x = 16,086,401,680 × 16,086,401,680
  4. Step 4: Simplify right side
    10,465,615,714x = 258,772,319,010,306,818,048
  5. Step 5: Solve for x
    x = 258,772,319,010,306,818,048/10,465,615,714
  6. Step 6: Final answer
    x = 24,725,952,689.45

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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.