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Finding the Third Proportional to 47,406,425,040 and 68,494,097,657.25

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Solution

The third proportional to 47,406,425,040 and 68,494,097,657.25 is: 98,962,142,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406,425,040 : 68,494,097,657.25 = 68,494,097,657.25 : x
  2. Step 2: Convert to fraction form
    47,406,425,040/68,494,097,657.25 = 68,494,097,657.25/x
  3. Step 3: Cross multiply
    47,406,425,040x = 68,494,097,657.25 × 68,494,097,657.25
  4. Step 4: Simplify right side
    47,406,425,040x = 4,691,441,413,880,899,698,688
  5. Step 5: Solve for x
    x = 4,691,441,413,880,899,698,688/47,406,425,040
  6. Step 6: Final answer
    x = 98,962,142,999.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.