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Finding the Third Proportional to 220,704,009.75 and 473,095,648.13

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Solution

The third proportional to 220,704,009.75 and 473,095,648.13 is: 1,014,116,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,704,009.75 : 473,095,648.13 = 473,095,648.13 : x
  2. Step 2: Convert to fraction form
    220,704,009.75/473,095,648.13 = 473,095,648.13/x
  3. Step 3: Cross multiply
    220,704,009.75x = 473,095,648.13 × 473,095,648.13
  4. Step 4: Simplify right side
    220,704,009.75x = 223,819,492,274,813,824
  5. Step 5: Solve for x
    x = 223,819,492,274,813,824/220,704,009.75
  6. Step 6: Final answer
    x = 1,014,116,112.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.