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Finding the Third Proportional to 645,470,502 and 968,866,713

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Solution

The third proportional to 645,470,502 and 968,866,713 is: 1,454,292,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,470,502 : 968,866,713 = 968,866,713 : x
  2. Step 2: Convert to fraction form
    645,470,502/968,866,713 = 968,866,713/x
  3. Step 3: Cross multiply
    645,470,502x = 968,866,713 × 968,866,713
  4. Step 4: Simplify right side
    645,470,502x = 938,702,707,559,424,384
  5. Step 5: Solve for x
    x = 938,702,707,559,424,384/645,470,502
  6. Step 6: Final answer
    x = 1,454,292,186.32

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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.