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Finding the Third Proportional to 4,631,012,872,724.80 and 7,006,080,480,020.80

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Solution

The third proportional to 4,631,012,872,724.80 and 7,006,080,480,020.80 is: 10,599,228,514,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,012,872,724.80 : 7,006,080,480,020.80 = 7,006,080,480,020.80 : x
  2. Step 2: Convert to fraction form
    4,631,012,872,724.80/7,006,080,480,020.80 = 7,006,080,480,020.80/x
  3. Step 3: Cross multiply
    4,631,012,872,724.80x = 7,006,080,480,020.80 × 7,006,080,480,020.80
  4. Step 4: Simplify right side
    4,631,012,872,724.80x = 49,085,163,692,528,479,730,925,568
  5. Step 5: Solve for x
    x = 49,085,163,692,528,479,730,925,568/4,631,012,872,724.80
  6. Step 6: Final answer
    x = 10,599,228,514,700.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.