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Finding the Third Proportional to 3,119,958,654 and 6,348,879,516

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Solution

The third proportional to 3,119,958,654 and 6,348,879,516 is: 12,919,488,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119,958,654 : 6,348,879,516 = 6,348,879,516 : x
  2. Step 2: Convert to fraction form
    3,119,958,654/6,348,879,516 = 6,348,879,516/x
  3. Step 3: Cross multiply
    3,119,958,654x = 6,348,879,516 × 6,348,879,516
  4. Step 4: Simplify right side
    3,119,958,654x = 40,308,271,108,684,390,400
  5. Step 5: Solve for x
    x = 40,308,271,108,684,390,400/3,119,958,654
  6. Step 6: Final answer
    x = 12,919,488,871.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.