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Finding the Third Proportional to 329,739,975,603 and 714,233,661,414

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Solution

The third proportional to 329,739,975,603 and 714,233,661,414 is: 1,547,066,661,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,739,975,603 : 714,233,661,414 = 714,233,661,414 : x
  2. Step 2: Convert to fraction form
    329,739,975,603/714,233,661,414 = 714,233,661,414/x
  3. Step 3: Cross multiply
    329,739,975,603x = 714,233,661,414 × 714,233,661,414
  4. Step 4: Simplify right side
    329,739,975,603x = 510,129,723,096,848,412,966,912
  5. Step 5: Solve for x
    x = 510,129,723,096,848,412,966,912/329,739,975,603
  6. Step 6: Final answer
    x = 1,547,066,661,128.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.