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Finding the Third Proportional to 3,102,615,143 and 4,353,583,238

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Solution

The third proportional to 3,102,615,143 and 4,353,583,238 is: 6,108,939,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,615,143 : 4,353,583,238 = 4,353,583,238 : x
  2. Step 2: Convert to fraction form
    3,102,615,143/4,353,583,238 = 4,353,583,238/x
  3. Step 3: Cross multiply
    3,102,615,143x = 4,353,583,238 × 4,353,583,238
  4. Step 4: Simplify right side
    3,102,615,143x = 18,953,687,010,194,563,072
  5. Step 5: Solve for x
    x = 18,953,687,010,194,563,072/3,102,615,143
  6. Step 6: Final answer
    x = 6,108,939,116.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.