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Finding the Third Proportional to 576,828,719,138 and 847,963,805,949

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Solution

The third proportional to 576,828,719,138 and 847,963,805,949 is: 1,246,544,411,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,828,719,138 : 847,963,805,949 = 847,963,805,949 : x
  2. Step 2: Convert to fraction form
    576,828,719,138/847,963,805,949 = 847,963,805,949/x
  3. Step 3: Cross multiply
    576,828,719,138x = 847,963,805,949 × 847,963,805,949
  4. Step 4: Simplify right side
    576,828,719,138x = 719,042,616,199,513,320,194,048
  5. Step 5: Solve for x
    x = 719,042,616,199,513,320,194,048/576,828,719,138
  6. Step 6: Final answer
    x = 1,246,544,411,439.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.