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Finding the Third Proportional to 9,366,146,397 and 20,225,094,091

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Solution

The third proportional to 9,366,146,397 and 20,225,094,091 is: 43,673,717,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366,146,397 : 20,225,094,091 = 20,225,094,091 : x
  2. Step 2: Convert to fraction form
    9,366,146,397/20,225,094,091 = 20,225,094,091/x
  3. Step 3: Cross multiply
    9,366,146,397x = 20,225,094,091 × 20,225,094,091
  4. Step 4: Simplify right side
    9,366,146,397x = 409,054,430,989,803,126,784
  5. Step 5: Solve for x
    x = 409,054,430,989,803,126,784/9,366,146,397
  6. Step 6: Final answer
    x = 43,673,717,412.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.