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Finding the Third Proportional to 6,867,772,640 and 14,876,484,216

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Solution

The third proportional to 6,867,772,640 and 14,876,484,216 is: 32,224,389,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,772,640 : 14,876,484,216 = 14,876,484,216 : x
  2. Step 2: Convert to fraction form
    6,867,772,640/14,876,484,216 = 14,876,484,216/x
  3. Step 3: Cross multiply
    6,867,772,640x = 14,876,484,216 × 14,876,484,216
  4. Step 4: Simplify right side
    6,867,772,640x = 221,309,782,628,897,128,448
  5. Step 5: Solve for x
    x = 221,309,782,628,897,128,448/6,867,772,640
  6. Step 6: Final answer
    x = 32,224,389,802.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.