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Finding the Third Proportional to 645,470,332 and 968,866,470

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Solution

The third proportional to 645,470,332 and 968,866,470 is: 1,454,291,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,470,332 : 968,866,470 = 968,866,470 : x
  2. Step 2: Convert to fraction form
    645,470,332/968,866,470 = 968,866,470/x
  3. Step 3: Cross multiply
    645,470,332x = 968,866,470 × 968,866,470
  4. Step 4: Simplify right side
    645,470,332x = 938,702,236,690,260,864
  5. Step 5: Solve for x
    x = 938,702,236,690,260,864/645,470,332
  6. Step 6: Final answer
    x = 1,454,291,839.85

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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.