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Finding the Third Proportional to 9,349,816,894,911 and 20,106,749,081,892

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Solution

The third proportional to 9,349,816,894,911 and 20,106,749,081,892 is: 43,239,494,760,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349,816,894,911 : 20,106,749,081,892 = 20,106,749,081,892 : x
  2. Step 2: Convert to fraction form
    9,349,816,894,911/20,106,749,081,892 = 20,106,749,081,892/x
  3. Step 3: Cross multiply
    9,349,816,894,911x = 20,106,749,081,892 × 20,106,749,081,892
  4. Step 4: Simplify right side
    9,349,816,894,911x = 404,281,358,642,164,751,702,949,888
  5. Step 5: Solve for x
    x = 404,281,358,642,164,751,702,949,888/9,349,816,894,911
  6. Step 6: Final answer
    x = 43,239,494,760,823.66

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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.