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Finding the Third Proportional to 277,344,422,097.10 and 596,428,226,019.45

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Solution

The third proportional to 277,344,422,097.10 and 596,428,226,019.45 is: 1,282,616,849,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,344,422,097.10 : 596,428,226,019.45 = 596,428,226,019.45 : x
  2. Step 2: Convert to fraction form
    277,344,422,097.10/596,428,226,019.45 = 596,428,226,019.45/x
  3. Step 3: Cross multiply
    277,344,422,097.10x = 596,428,226,019.45 × 596,428,226,019.45
  4. Step 4: Simplify right side
    277,344,422,097.10x = 355,726,628,792,708,081,123,328
  5. Step 5: Solve for x
    x = 355,726,628,792,708,081,123,328/277,344,422,097.10
  6. Step 6: Final answer
    x = 1,282,616,849,125.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.