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Finding the Third Proportional to 4,817,745,006 and 7,365,088,994

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Solution

The third proportional to 4,817,745,006 and 7,365,088,994 is: 11,259,320,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817,745,006 : 7,365,088,994 = 7,365,088,994 : x
  2. Step 2: Convert to fraction form
    4,817,745,006/7,365,088,994 = 7,365,088,994/x
  3. Step 3: Cross multiply
    4,817,745,006x = 7,365,088,994 × 7,365,088,994
  4. Step 4: Simplify right side
    4,817,745,006x = 54,244,535,889,539,932,160
  5. Step 5: Solve for x
    x = 54,244,535,889,539,932,160/4,817,745,006
  6. Step 6: Final answer
    x = 11,259,320,661.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.