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Finding the Third Proportional to 220,704,003.70 and 473,095,637.72

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Solution

The third proportional to 220,704,003.70 and 473,095,637.72 is: 1,014,116,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,704,003.70 : 473,095,637.72 = 473,095,637.72 : x
  2. Step 2: Convert to fraction form
    220,704,003.70/473,095,637.72 = 473,095,637.72/x
  3. Step 3: Cross multiply
    220,704,003.70x = 473,095,637.72 × 473,095,637.72
  4. Step 4: Simplify right side
    220,704,003.70x = 223,819,482,428,510,752
  5. Step 5: Solve for x
    x = 223,819,482,428,510,752/220,704,003.70
  6. Step 6: Final answer
    x = 1,014,116,095.19

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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.