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Finding the Third Proportional to 399,554,952,924 and 820,291,477,878

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Solution

The third proportional to 399,554,952,924 and 820,291,477,878 is: 1,684,068,996,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,554,952,924 : 820,291,477,878 = 820,291,477,878 : x
  2. Step 2: Convert to fraction form
    399,554,952,924/820,291,477,878 = 820,291,477,878/x
  3. Step 3: Cross multiply
    399,554,952,924x = 820,291,477,878 × 820,291,477,878
  4. Step 4: Simplify right side
    399,554,952,924x = 672,878,108,679,273,359,343,616
  5. Step 5: Solve for x
    x = 672,878,108,679,273,359,343,616/399,554,952,924
  6. Step 6: Final answer
    x = 1,684,068,996,655.04

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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.