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Finding the Third Proportional to 324,280,258,752.09 and 697,363,581,369.70

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Solution

The third proportional to 324,280,258,752.09 and 697,363,581,369.70 is: 1,499,677,983,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,280,258,752.09 : 697,363,581,369.70 = 697,363,581,369.70 : x
  2. Step 2: Convert to fraction form
    324,280,258,752.09/697,363,581,369.70 = 697,363,581,369.70/x
  3. Step 3: Cross multiply
    324,280,258,752.09x = 697,363,581,369.70 × 697,363,581,369.70
  4. Step 4: Simplify right side
    324,280,258,752.09x = 486,315,964,620,774,116,950,016
  5. Step 5: Solve for x
    x = 486,315,964,620,774,116,950,016/324,280,258,752.09
  6. Step 6: Final answer
    x = 1,499,677,983,767.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.