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Finding the Third Proportional to 265,656,582 and 416,699,029

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Solution

The third proportional to 265,656,582 and 416,699,029 is: 653,618,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,656,582 : 416,699,029 = 416,699,029 : x
  2. Step 2: Convert to fraction form
    265,656,582/416,699,029 = 416,699,029/x
  3. Step 3: Cross multiply
    265,656,582x = 416,699,029 × 416,699,029
  4. Step 4: Simplify right side
    265,656,582x = 173,638,080,769,542,848
  5. Step 5: Solve for x
    x = 173,638,080,769,542,848/265,656,582
  6. Step 6: Final answer
    x = 653,618,590.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.