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Finding the Third Proportional to 282,277,706.36 and 611,461,231.91

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Solution

The third proportional to 282,277,706.36 and 611,461,231.91 is: 1,324,528,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,706.36 : 611,461,231.91 = 611,461,231.91 : x
  2. Step 2: Convert to fraction form
    282,277,706.36/611,461,231.91 = 611,461,231.91/x
  3. Step 3: Cross multiply
    282,277,706.36x = 611,461,231.91 × 611,461,231.91
  4. Step 4: Simplify right side
    282,277,706.36x = 373,884,838,129,078,272
  5. Step 5: Solve for x
    x = 373,884,838,129,078,272/282,277,706.36
  6. Step 6: Final answer
    x = 1,324,528,397.76

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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.