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Finding the Third Proportional to 654,574,220 and 1,454,431,066

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Solution

The third proportional to 654,574,220 and 1,454,431,066 is: 3,231,672,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,574,220 : 1,454,431,066 = 1,454,431,066 : x
  2. Step 2: Convert to fraction form
    654,574,220/1,454,431,066 = 1,454,431,066/x
  3. Step 3: Cross multiply
    654,574,220x = 1,454,431,066 × 1,454,431,066
  4. Step 4: Simplify right side
    654,574,220x = 2,115,369,725,745,896,448
  5. Step 5: Solve for x
    x = 2,115,369,725,745,896,448/654,574,220
  6. Step 6: Final answer
    x = 3,231,672,835.73

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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.