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Finding the Third Proportional to 9,349,816,894,909 and 20,106,749,081,888

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Solution

The third proportional to 9,349,816,894,909 and 20,106,749,081,888 is: 43,239,494,760,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349,816,894,909 : 20,106,749,081,888 = 20,106,749,081,888 : x
  2. Step 2: Convert to fraction form
    9,349,816,894,909/20,106,749,081,888 = 20,106,749,081,888/x
  3. Step 3: Cross multiply
    9,349,816,894,909x = 20,106,749,081,888 × 20,106,749,081,888
  4. Step 4: Simplify right side
    9,349,816,894,909x = 404,281,358,642,003,948,127,387,648
  5. Step 5: Solve for x
    x = 404,281,358,642,003,948,127,387,648/9,349,816,894,909
  6. Step 6: Final answer
    x = 43,239,494,760,815.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.