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Finding the Third Proportional to 213,863,266,887.77 and 458,772,281,393.30

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Solution

The third proportional to 213,863,266,887.77 and 458,772,281,393.30 is: 984,142,855,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,863,266,887.77 : 458,772,281,393.30 = 458,772,281,393.30 : x
  2. Step 2: Convert to fraction form
    213,863,266,887.77/458,772,281,393.30 = 458,772,281,393.30/x
  3. Step 3: Cross multiply
    213,863,266,887.77x = 458,772,281,393.30 × 458,772,281,393.30
  4. Step 4: Simplify right side
    213,863,266,887.77x = 210,472,006,174,813,217,357,824
  5. Step 5: Solve for x
    x = 210,472,006,174,813,217,357,824/213,863,266,887.77
  6. Step 6: Final answer
    x = 984,142,855,562.31

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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.