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Finding the Third Proportional to 472,583,514,292.50 and 1,016,843,045,073

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Solution

The third proportional to 472,583,514,292.50 and 1,016,843,045,073 is: 2,187,909,114,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,583,514,292.50 : 1,016,843,045,073 = 1,016,843,045,073 : x
  2. Step 2: Convert to fraction form
    472,583,514,292.50/1,016,843,045,073 = 1,016,843,045,073/x
  3. Step 3: Cross multiply
    472,583,514,292.50x = 1,016,843,045,073 × 1,016,843,045,073
  4. Step 4: Simplify right side
    472,583,514,292.50x = 1,033,969,778,313,331,145,179,136
  5. Step 5: Solve for x
    x = 1,033,969,778,313,331,145,179,136/472,583,514,292.50
  6. Step 6: Final answer
    x = 2,187,909,114,564.18

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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.