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Finding the Third Proportional to 3,045,701,352 and 4,109,366,256

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Solution

The third proportional to 3,045,701,352 and 4,109,366,256 is: 5,544,499,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045,701,352 : 4,109,366,256 = 4,109,366,256 : x
  2. Step 2: Convert to fraction form
    3,045,701,352/4,109,366,256 = 4,109,366,256/x
  3. Step 3: Cross multiply
    3,045,701,352x = 4,109,366,256 × 4,109,366,256
  4. Step 4: Simplify right side
    3,045,701,352x = 16,886,891,025,951,457,280
  5. Step 5: Solve for x
    x = 16,886,891,025,951,457,280/3,045,701,352
  6. Step 6: Final answer
    x = 5,544,499,960.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.