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Finding the Third Proportional to 436,067,319 and 670,266,733

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Solution

The third proportional to 436,067,319 and 670,266,733 is: 1,030,248,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,067,319 : 670,266,733 = 670,266,733 : x
  2. Step 2: Convert to fraction form
    436,067,319/670,266,733 = 670,266,733/x
  3. Step 3: Cross multiply
    436,067,319x = 670,266,733 × 670,266,733
  4. Step 4: Simplify right side
    436,067,319x = 449,257,493,366,493,312
  5. Step 5: Solve for x
    x = 449,257,493,366,493,312/436,067,319
  6. Step 6: Final answer
    x = 1,030,248,023.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.