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Finding the Third Proportional to 36,147,294 and 78,168,114

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Solution

The third proportional to 36,147,294 and 78,168,114 is: 169,037,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147,294 : 78,168,114 = 78,168,114 : x
  2. Step 2: Convert to fraction form
    36,147,294/78,168,114 = 78,168,114/x
  3. Step 3: Cross multiply
    36,147,294x = 78,168,114 × 78,168,114
  4. Step 4: Simplify right side
    36,147,294x = 6,110,254,046,316,996
  5. Step 5: Solve for x
    x = 6,110,254,046,316,996/36,147,294
  6. Step 6: Final answer
    x = 169,037,661.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.