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Finding the Third Proportional to 267,779,563 and 413,787,693

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Solution

The third proportional to 267,779,563 and 413,787,693 is: 639,407,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,779,563 : 413,787,693 = 413,787,693 : x
  2. Step 2: Convert to fraction form
    267,779,563/413,787,693 = 413,787,693/x
  3. Step 3: Cross multiply
    267,779,563x = 413,787,693 × 413,787,693
  4. Step 4: Simplify right side
    267,779,563x = 171,220,254,878,262,240
  5. Step 5: Solve for x
    x = 171,220,254,878,262,240/267,779,563
  6. Step 6: Final answer
    x = 639,407,477.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.