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Finding the Third Proportional to 1,652,872,819 and 2,527,380,803

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Solution

The third proportional to 1,652,872,819 and 2,527,380,803 is: 3,864,576,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,872,819 : 2,527,380,803 = 2,527,380,803 : x
  2. Step 2: Convert to fraction form
    1,652,872,819/2,527,380,803 = 2,527,380,803/x
  3. Step 3: Cross multiply
    1,652,872,819x = 2,527,380,803 × 2,527,380,803
  4. Step 4: Simplify right side
    1,652,872,819x = 6,387,653,723,372,924,928
  5. Step 5: Solve for x
    x = 6,387,653,723,372,924,928/1,652,872,819
  6. Step 6: Final answer
    x = 3,864,576,663.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.