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Finding the Third Proportional to 353,144,707 and 824,842,964

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Solution

The third proportional to 353,144,707 and 824,842,964 is: 1,926,592,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,144,707 : 824,842,964 = 824,842,964 : x
  2. Step 2: Convert to fraction form
    353,144,707/824,842,964 = 824,842,964/x
  3. Step 3: Cross multiply
    353,144,707x = 824,842,964 × 824,842,964
  4. Step 4: Simplify right side
    353,144,707x = 680,365,915,260,305,280
  5. Step 5: Solve for x
    x = 680,365,915,260,305,280/353,144,707
  6. Step 6: Final answer
    x = 1,926,592,418.84

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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.