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Finding the Third Proportional to 34,477,742 and 73,158,354

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Solution

The third proportional to 34,477,742 and 73,158,354 is: 155,234,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477,742 : 73,158,354 = 73,158,354 : x
  2. Step 2: Convert to fraction form
    34,477,742/73,158,354 = 73,158,354/x
  3. Step 3: Cross multiply
    34,477,742x = 73,158,354 × 73,158,354
  4. Step 4: Simplify right side
    34,477,742x = 5,352,144,759,989,316
  5. Step 5: Solve for x
    x = 5,352,144,759,989,316/34,477,742
  6. Step 6: Final answer
    x = 155,234,781.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.