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Finding the Third Proportional to 3,921,952,833.38 and 8,403,423,728.63

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Solution

The third proportional to 3,921,952,833.38 and 8,403,423,728.63 is: 18,005,706,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921,952,833.38 : 8,403,423,728.63 = 8,403,423,728.63 : x
  2. Step 2: Convert to fraction form
    3,921,952,833.38/8,403,423,728.63 = 8,403,423,728.63/x
  3. Step 3: Cross multiply
    3,921,952,833.38x = 8,403,423,728.63 × 8,403,423,728.63
  4. Step 4: Simplify right side
    3,921,952,833.38x = 70,617,530,362,817,699,840
  5. Step 5: Solve for x
    x = 70,617,530,362,817,699,840/3,921,952,833.38
  6. Step 6: Final answer
    x = 18,005,706,178.28

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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.