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Finding the Third Proportional to 827,406,502,729 and 1,164,662,952,715

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Solution

The third proportional to 827,406,502,729 and 1,164,662,952,715 is: 1,639,387,397,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,406,502,729 : 1,164,662,952,715 = 1,164,662,952,715 : x
  2. Step 2: Convert to fraction form
    827,406,502,729/1,164,662,952,715 = 1,164,662,952,715/x
  3. Step 3: Cross multiply
    827,406,502,729x = 1,164,662,952,715 × 1,164,662,952,715
  4. Step 4: Simplify right side
    827,406,502,729x = 1,356,439,793,426,822,326,124,544
  5. Step 5: Solve for x
    x = 1,356,439,793,426,822,326,124,544/827,406,502,729
  6. Step 6: Final answer
    x = 1,639,387,397,794.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.