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Finding the Third Proportional to 7,080,315,817,398 and 15,407,387,536,948

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Solution

The third proportional to 7,080,315,817,398 and 15,407,387,536,948 is: 33,527,825,147,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080,315,817,398 : 15,407,387,536,948 = 15,407,387,536,948 : x
  2. Step 2: Convert to fraction form
    7,080,315,817,398/15,407,387,536,948 = 15,407,387,536,948/x
  3. Step 3: Cross multiply
    7,080,315,817,398x = 15,407,387,536,948 × 15,407,387,536,948
  4. Step 4: Simplify right side
    7,080,315,817,398x = 237,387,590,713,700,550,803,718,144
  5. Step 5: Solve for x
    x = 237,387,590,713,700,550,803,718,144/7,080,315,817,398
  6. Step 6: Final answer
    x = 33,527,825,147,344.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.