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Finding the Third Proportional to 2,518,350,873 and 5,390,470,185

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Solution

The third proportional to 2,518,350,873 and 5,390,470,185 is: 11,538,173,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518,350,873 : 5,390,470,185 = 5,390,470,185 : x
  2. Step 2: Convert to fraction form
    2,518,350,873/5,390,470,185 = 5,390,470,185/x
  3. Step 3: Cross multiply
    2,518,350,873x = 5,390,470,185 × 5,390,470,185
  4. Step 4: Simplify right side
    2,518,350,873x = 29,057,168,815,373,934,592
  5. Step 5: Solve for x
    x = 29,057,168,815,373,934,592/2,518,350,873
  6. Step 6: Final answer
    x = 11,538,173,304.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.