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Finding the Third Proportional to 558,490,653 and 899,877,215.25

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Solution

The third proportional to 558,490,653 and 899,877,215.25 is: 1,449,941,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,490,653 : 899,877,215.25 = 899,877,215.25 : x
  2. Step 2: Convert to fraction form
    558,490,653/899,877,215.25 = 899,877,215.25/x
  3. Step 3: Cross multiply
    558,490,653x = 899,877,215.25 × 899,877,215.25
  4. Step 4: Simplify right side
    558,490,653x = 809,779,002,526,094,848
  5. Step 5: Solve for x
    x = 809,779,002,526,094,848/558,490,653
  6. Step 6: Final answer
    x = 1,449,941,907.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.