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Finding the Third Proportional to 357,639,648 and 546,724,368

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Solution

The third proportional to 357,639,648 and 546,724,368 is: 835,778,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,639,648 : 546,724,368 = 546,724,368 : x
  2. Step 2: Convert to fraction form
    357,639,648/546,724,368 = 546,724,368/x
  3. Step 3: Cross multiply
    357,639,648x = 546,724,368 × 546,724,368
  4. Step 4: Simplify right side
    357,639,648x = 298,907,534,564,999,424
  5. Step 5: Solve for x
    x = 298,907,534,564,999,424/357,639,648
  6. Step 6: Final answer
    x = 835,778,516.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.