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Finding the Third Proportional to 7,608,795,725 and 15,431,533,492

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Solution

The third proportional to 7,608,795,725 and 15,431,533,492 is: 31,296,966,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608,795,725 : 15,431,533,492 = 15,431,533,492 : x
  2. Step 2: Convert to fraction form
    7,608,795,725/15,431,533,492 = 15,431,533,492/x
  3. Step 3: Cross multiply
    7,608,795,725x = 15,431,533,492 × 15,431,533,492
  4. Step 4: Simplify right side
    7,608,795,725x = 238,132,225,914,717,700,096
  5. Step 5: Solve for x
    x = 238,132,225,914,717,700,096/7,608,795,725
  6. Step 6: Final answer
    x = 31,296,966,631.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.