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Finding the Third Proportional to 357,639,936 and 546,724,800

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Solution

The third proportional to 357,639,936 and 546,724,800 is: 835,779,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,639,936 : 546,724,800 = 546,724,800 : x
  2. Step 2: Convert to fraction form
    357,639,936/546,724,800 = 546,724,800/x
  3. Step 3: Cross multiply
    357,639,936x = 546,724,800 × 546,724,800
  4. Step 4: Simplify right side
    357,639,936x = 298,908,006,935,040,000
  5. Step 5: Solve for x
    x = 298,908,006,935,040,000/357,639,936
  6. Step 6: Final answer
    x = 835,779,164.59

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