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Finding the Third Proportional to 632,597,213,088 and 963,696,492,795

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Solution

The third proportional to 632,597,213,088 and 963,696,492,795 is: 1,468,092,035,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,597,213,088 : 963,696,492,795 = 963,696,492,795 : x
  2. Step 2: Convert to fraction form
    632,597,213,088/963,696,492,795 = 963,696,492,795/x
  3. Step 3: Cross multiply
    632,597,213,088x = 963,696,492,795 × 963,696,492,795
  4. Step 4: Simplify right side
    632,597,213,088x = 928,710,930,225,383,434,354,688
  5. Step 5: Solve for x
    x = 928,710,930,225,383,434,354,688/632,597,213,088
  6. Step 6: Final answer
    x = 1,468,092,035,518.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.