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Finding the Third Proportional to 312,636,855 and 459,861,732

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Solution

The third proportional to 312,636,855 and 459,861,732 is: 676,416,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,636,855 : 459,861,732 = 459,861,732 : x
  2. Step 2: Convert to fraction form
    312,636,855/459,861,732 = 459,861,732/x
  3. Step 3: Cross multiply
    312,636,855x = 459,861,732 × 459,861,732
  4. Step 4: Simplify right side
    312,636,855x = 211,472,812,558,039,808
  5. Step 5: Solve for x
    x = 211,472,812,558,039,808/312,636,855
  6. Step 6: Final answer
    x = 676,416,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.