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Finding the Third Proportional to 287,886,533,545.12 and 633,349,366,866

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Solution

The third proportional to 287,886,533,545.12 and 633,349,366,866 is: 1,393,366,391,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,886,533,545.12 : 633,349,366,866 = 633,349,366,866 : x
  2. Step 2: Convert to fraction form
    287,886,533,545.12/633,349,366,866 = 633,349,366,866/x
  3. Step 3: Cross multiply
    287,886,533,545.12x = 633,349,366,866 × 633,349,366,866
  4. Step 4: Simplify right side
    287,886,533,545.12x = 401,131,420,509,563,065,991,168
  5. Step 5: Solve for x
    x = 401,131,420,509,563,065,991,168/287,886,533,545.12
  6. Step 6: Final answer
    x = 1,393,366,391,855.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.