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Finding the Third Proportional to 794,575,575 and 1,855,896,630.75

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Solution

The third proportional to 794,575,575 and 1,855,896,630.75 is: 4,334,832,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,575,575 : 1,855,896,630.75 = 1,855,896,630.75 : x
  2. Step 2: Convert to fraction form
    794,575,575/1,855,896,630.75 = 1,855,896,630.75/x
  3. Step 3: Cross multiply
    794,575,575x = 1,855,896,630.75 × 1,855,896,630.75
  4. Step 4: Simplify right side
    794,575,575x = 3,444,352,304,029,201,920
  5. Step 5: Solve for x
    x = 3,444,352,304,029,201,920/794,575,575
  6. Step 6: Final answer
    x = 4,334,832,849.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.