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Finding the Third Proportional to 645,470,330 and 968,866,467

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Solution

The third proportional to 645,470,330 and 968,866,467 is: 1,454,291,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,470,330 : 968,866,467 = 968,866,467 : x
  2. Step 2: Convert to fraction form
    645,470,330/968,866,467 = 968,866,467/x
  3. Step 3: Cross multiply
    645,470,330x = 968,866,467 × 968,866,467
  4. Step 4: Simplify right side
    645,470,330x = 938,702,230,877,062,144
  5. Step 5: Solve for x
    x = 938,702,230,877,062,144/645,470,330
  6. Step 6: Final answer
    x = 1,454,291,835.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.