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Finding the Third Proportional to 2,984,712,144 and 6,388,705,402

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Solution

The third proportional to 2,984,712,144 and 6,388,705,402 is: 13,674,872,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,712,144 : 6,388,705,402 = 6,388,705,402 : x
  2. Step 2: Convert to fraction form
    2,984,712,144/6,388,705,402 = 6,388,705,402/x
  3. Step 3: Cross multiply
    2,984,712,144x = 6,388,705,402 × 6,388,705,402
  4. Step 4: Simplify right side
    2,984,712,144x = 40,815,556,713,543,983,104
  5. Step 5: Solve for x
    x = 40,815,556,713,543,983,104/2,984,712,144
  6. Step 6: Final answer
    x = 13,674,872,062.82

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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.