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Finding the Third Proportional to 1,598,827,856 and 3,565,277,856

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Solution

The third proportional to 1,598,827,856 and 3,565,277,856 is: 7,950,328,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,827,856 : 3,565,277,856 = 3,565,277,856 : x
  2. Step 2: Convert to fraction form
    1,598,827,856/3,565,277,856 = 3,565,277,856/x
  3. Step 3: Cross multiply
    1,598,827,856x = 3,565,277,856 × 3,565,277,856
  4. Step 4: Simplify right side
    1,598,827,856x = 12,711,206,190,483,955,712
  5. Step 5: Solve for x
    x = 12,711,206,190,483,955,712/1,598,827,856
  6. Step 6: Final answer
    x = 7,950,328,199.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.