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Finding the Third Proportional to 353,144,695.50 and 824,842,937.25

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Solution

The third proportional to 353,144,695.50 and 824,842,937.25 is: 1,926,592,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,144,695.50 : 824,842,937.25 = 824,842,937.25 : x
  2. Step 2: Convert to fraction form
    353,144,695.50/824,842,937.25 = 824,842,937.25/x
  3. Step 3: Cross multiply
    353,144,695.50x = 824,842,937.25 × 824,842,937.25
  4. Step 4: Simplify right side
    353,144,695.50x = 680,365,871,131,207,424
  5. Step 5: Solve for x
    x = 680,365,871,131,207,424/353,144,695.50
  6. Step 6: Final answer
    x = 1,926,592,356.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.