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Finding the Third Proportional to 2,984,712,140 and 6,388,705,394

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Solution

The third proportional to 2,984,712,140 and 6,388,705,394 is: 13,674,872,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,712,140 : 6,388,705,394 = 6,388,705,394 : x
  2. Step 2: Convert to fraction form
    2,984,712,140/6,388,705,394 = 6,388,705,394/x
  3. Step 3: Cross multiply
    2,984,712,140x = 6,388,705,394 × 6,388,705,394
  4. Step 4: Simplify right side
    2,984,712,140x = 40,815,556,611,324,698,624
  5. Step 5: Solve for x
    x = 40,815,556,611,324,698,624/2,984,712,140
  6. Step 6: Final answer
    x = 13,674,872,046.90

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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.