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Finding the Third Proportional to 329,739,975,604 and 714,233,661,416

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Solution

The third proportional to 329,739,975,604 and 714,233,661,416 is: 1,547,066,661,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,739,975,604 : 714,233,661,416 = 714,233,661,416 : x
  2. Step 2: Convert to fraction form
    329,739,975,604/714,233,661,416 = 714,233,661,416/x
  3. Step 3: Cross multiply
    329,739,975,604x = 714,233,661,416 × 714,233,661,416
  4. Step 4: Simplify right side
    329,739,975,604x = 510,129,723,099,705,304,416,256
  5. Step 5: Solve for x
    x = 510,129,723,099,705,304,416,256/329,739,975,604
  6. Step 6: Final answer
    x = 1,547,066,661,132.84

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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.