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Finding the Third Proportional to 645,470,328 and 968,866,464

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Solution

The third proportional to 645,470,328 and 968,866,464 is: 1,454,291,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,470,328 : 968,866,464 = 968,866,464 : x
  2. Step 2: Convert to fraction form
    645,470,328/968,866,464 = 968,866,464/x
  3. Step 3: Cross multiply
    645,470,328x = 968,866,464 × 968,866,464
  4. Step 4: Simplify right side
    645,470,328x = 938,702,225,063,863,296
  5. Step 5: Solve for x
    x = 938,702,225,063,863,296/645,470,328
  6. Step 6: Final answer
    x = 1,454,291,830.85

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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.