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Finding the Third Proportional to 4,677,383,688 and 6,354,421,644

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Solution

The third proportional to 4,677,383,688 and 6,354,421,644 is: 8,632,747,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,383,688 : 6,354,421,644 = 6,354,421,644 : x
  2. Step 2: Convert to fraction form
    4,677,383,688/6,354,421,644 = 6,354,421,644/x
  3. Step 3: Cross multiply
    4,677,383,688x = 6,354,421,644 × 6,354,421,644
  4. Step 4: Simplify right side
    4,677,383,688x = 40,378,674,429,735,665,664
  5. Step 5: Solve for x
    x = 40,378,674,429,735,665,664/4,677,383,688
  6. Step 6: Final answer
    x = 8,632,747,946.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.