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Finding the Third Proportional to 473,626,364,724 and 1,022,740,557,948

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Solution

The third proportional to 473,626,364,724 and 1,022,740,557,948 is: 2,208,488,223,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,626,364,724 : 1,022,740,557,948 = 1,022,740,557,948 : x
  2. Step 2: Convert to fraction form
    473,626,364,724/1,022,740,557,948 = 1,022,740,557,948/x
  3. Step 3: Cross multiply
    473,626,364,724x = 1,022,740,557,948 × 1,022,740,557,948
  4. Step 4: Simplify right side
    473,626,364,724x = 1,045,998,248,871,786,367,156,224
  5. Step 5: Solve for x
    x = 1,045,998,248,871,786,367,156,224/473,626,364,724
  6. Step 6: Final answer
    x = 2,208,488,223,583.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.