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Finding the Third Proportional to 2,583,952,407 and 5,668,163,565

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Solution

The third proportional to 2,583,952,407 and 5,668,163,565 is: 12,433,695,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,952,407 : 5,668,163,565 = 5,668,163,565 : x
  2. Step 2: Convert to fraction form
    2,583,952,407/5,668,163,565 = 5,668,163,565/x
  3. Step 3: Cross multiply
    2,583,952,407x = 5,668,163,565 × 5,668,163,565
  4. Step 4: Simplify right side
    2,583,952,407x = 32,128,078,199,593,508,864
  5. Step 5: Solve for x
    x = 32,128,078,199,593,508,864/2,583,952,407
  6. Step 6: Final answer
    x = 12,433,695,803.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.