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Finding the Third Proportional to 14,459,863,968 and 22,344,177,024

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Solution

The third proportional to 14,459,863,968 and 22,344,177,024 is: 34,527,451,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459,863,968 : 22,344,177,024 = 22,344,177,024 : x
  2. Step 2: Convert to fraction form
    14,459,863,968/22,344,177,024 = 22,344,177,024/x
  3. Step 3: Cross multiply
    14,459,863,968x = 22,344,177,024 × 22,344,177,024
  4. Step 4: Simplify right side
    14,459,863,968x = 499,262,246,879,849,480,192
  5. Step 5: Solve for x
    x = 499,262,246,879,849,480,192/14,459,863,968
  6. Step 6: Final answer
    x = 34,527,451,156.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.