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Finding the Third Proportional to 325,821,051,792 and 701,437,705,008

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Solution

The third proportional to 325,821,051,792 and 701,437,705,008 is: 1,510,076,931,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,821,051,792 : 701,437,705,008 = 701,437,705,008 : x
  2. Step 2: Convert to fraction form
    325,821,051,792/701,437,705,008 = 701,437,705,008/x
  3. Step 3: Cross multiply
    325,821,051,792x = 701,437,705,008 × 701,437,705,008
  4. Step 4: Simplify right side
    325,821,051,792x = 492,014,854,006,890,047,733,760
  5. Step 5: Solve for x
    x = 492,014,854,006,890,047,733,760/325,821,051,792
  6. Step 6: Final answer
    x = 1,510,076,931,189.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.