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Finding the Third Proportional to 329,739,975,592.88 and 714,233,661,396.75

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Solution

The third proportional to 329,739,975,592.88 and 714,233,661,396.75 is: 1,547,066,661,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,739,975,592.88 : 714,233,661,396.75 = 714,233,661,396.75 : x
  2. Step 2: Convert to fraction form
    329,739,975,592.88/714,233,661,396.75 = 714,233,661,396.75/x
  3. Step 3: Cross multiply
    329,739,975,592.88x = 714,233,661,396.75 × 714,233,661,396.75
  4. Step 4: Simplify right side
    329,739,975,592.88x = 510,129,723,072,207,313,174,528
  5. Step 5: Solve for x
    x = 510,129,723,072,207,313,174,528/329,739,975,592.88
  6. Step 6: Final answer
    x = 1,547,066,661,101.62

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1.5x scale

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.