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Finding the Third Proportional to 5,755,959,221,920 and 12,798,868,772,000

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Solution

The third proportional to 5,755,959,221,920 and 12,798,868,772,000 is: 28,459,381,925,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755,959,221,920 : 12,798,868,772,000 = 12,798,868,772,000 : x
  2. Step 2: Convert to fraction form
    5,755,959,221,920/12,798,868,772,000 = 12,798,868,772,000/x
  3. Step 3: Cross multiply
    5,755,959,221,920x = 12,798,868,772,000 × 12,798,868,772,000
  4. Step 4: Simplify right side
    5,755,959,221,920x = 163,811,041,842,876,802,343,632,896
  5. Step 5: Solve for x
    x = 163,811,041,842,876,802,343,632,896/5,755,959,221,920
  6. Step 6: Final answer
    x = 28,459,381,925,265.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.