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Finding the Third Proportional to 399,554,952,926 and 820,291,477,882

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Solution

The third proportional to 399,554,952,926 and 820,291,477,882 is: 1,684,068,996,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,554,952,926 : 820,291,477,882 = 820,291,477,882 : x
  2. Step 2: Convert to fraction form
    399,554,952,926/820,291,477,882 = 820,291,477,882/x
  3. Step 3: Cross multiply
    399,554,952,926x = 820,291,477,882 × 820,291,477,882
  4. Step 4: Simplify right side
    399,554,952,926x = 672,878,108,685,835,666,718,720
  5. Step 5: Solve for x
    x = 672,878,108,685,835,666,718,720/399,554,952,926
  6. Step 6: Final answer
    x = 1,684,068,996,663.04

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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.