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Finding the Third Proportional to 272,534,994 and 408,702,402

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Solution

The third proportional to 272,534,994 and 408,702,402 is: 612,903,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,534,994 : 408,702,402 = 408,702,402 : x
  2. Step 2: Convert to fraction form
    272,534,994/408,702,402 = 408,702,402/x
  3. Step 3: Cross multiply
    272,534,994x = 408,702,402 × 408,702,402
  4. Step 4: Simplify right side
    272,534,994x = 167,037,653,400,569,600
  5. Step 5: Solve for x
    x = 167,037,653,400,569,600/272,534,994
  6. Step 6: Final answer
    x = 612,903,506.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.