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Finding the Third Proportional to 399,554,952,928 and 820,291,477,886

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Solution

The third proportional to 399,554,952,928 and 820,291,477,886 is: 1,684,068,996,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,554,952,928 : 820,291,477,886 = 820,291,477,886 : x
  2. Step 2: Convert to fraction form
    399,554,952,928/820,291,477,886 = 820,291,477,886/x
  3. Step 3: Cross multiply
    399,554,952,928x = 820,291,477,886 × 820,291,477,886
  4. Step 4: Simplify right side
    399,554,952,928x = 672,878,108,692,397,974,093,824
  5. Step 5: Solve for x
    x = 672,878,108,692,397,974,093,824/399,554,952,928
  6. Step 6: Final answer
    x = 1,684,068,996,671.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.