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Finding the Third Proportional to 821,304,953,632 and 1,207,354,715,912

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Solution

The third proportional to 821,304,953,632 and 1,207,354,715,912 is: 1,774,864,992,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,304,953,632 : 1,207,354,715,912 = 1,207,354,715,912 : x
  2. Step 2: Convert to fraction form
    821,304,953,632/1,207,354,715,912 = 1,207,354,715,912/x
  3. Step 3: Cross multiply
    821,304,953,632x = 1,207,354,715,912 × 1,207,354,715,912
  4. Step 4: Simplify right side
    821,304,953,632x = 1,457,705,410,034,946,321,416,192
  5. Step 5: Solve for x
    x = 1,457,705,410,034,946,321,416,192/821,304,953,632
  6. Step 6: Final answer
    x = 1,774,864,992,094.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.