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Finding the Third Proportional to 432,352,422,807 and 900,490,391,217

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Solution

The third proportional to 432,352,422,807 and 900,490,391,217 is: 1,875,513,821,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,352,422,807 : 900,490,391,217 = 900,490,391,217 : x
  2. Step 2: Convert to fraction form
    432,352,422,807/900,490,391,217 = 900,490,391,217/x
  3. Step 3: Cross multiply
    432,352,422,807x = 900,490,391,217 × 900,490,391,217
  4. Step 4: Simplify right side
    432,352,422,807x = 810,882,944,674,145,704,607,744
  5. Step 5: Solve for x
    x = 810,882,944,674,145,704,607,744/432,352,422,807
  6. Step 6: Final answer
    x = 1,875,513,821,362.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.