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Finding the Third Proportional to 67,270,688 and 147,563,968

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Solution

The third proportional to 67,270,688 and 147,563,968 is: 323,694,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,270,688 : 147,563,968 = 147,563,968 : x
  2. Step 2: Convert to fraction form
    67,270,688/147,563,968 = 147,563,968/x
  3. Step 3: Cross multiply
    67,270,688x = 147,563,968 × 147,563,968
  4. Step 4: Simplify right side
    67,270,688x = 21,775,124,651,905,024
  5. Step 5: Solve for x
    x = 21,775,124,651,905,024/67,270,688
  6. Step 6: Final answer
    x = 323,694,097.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.