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Finding the Third Proportional to 987,217,242,402 and 1,390,219,420,176

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Solution

The third proportional to 987,217,242,402 and 1,390,219,420,176 is: 1,957,735,291,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,217,242,402 : 1,390,219,420,176 = 1,390,219,420,176 : x
  2. Step 2: Convert to fraction form
    987,217,242,402/1,390,219,420,176 = 1,390,219,420,176/x
  3. Step 3: Cross multiply
    987,217,242,402x = 1,390,219,420,176 × 1,390,219,420,176
  4. Step 4: Simplify right side
    987,217,242,402x = 1,932,710,036,234,493,759,586,304
  5. Step 5: Solve for x
    x = 1,932,710,036,234,493,759,586,304/987,217,242,402
  6. Step 6: Final answer
    x = 1,957,735,291,912.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.