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Finding the Third Proportional to 432,352,422,836 and 900,490,391,316

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Solution

The third proportional to 432,352,422,836 and 900,490,391,316 is: 1,875,513,821,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,352,422,836 : 900,490,391,316 = 900,490,391,316 : x
  2. Step 2: Convert to fraction form
    432,352,422,836/900,490,391,316 = 900,490,391,316/x
  3. Step 3: Cross multiply
    432,352,422,836x = 900,490,391,316 × 900,490,391,316
  4. Step 4: Simplify right side
    432,352,422,836x = 810,882,944,852,442,816,184,320
  5. Step 5: Solve for x
    x = 810,882,944,852,442,816,184,320/432,352,422,836
  6. Step 6: Final answer
    x = 1,875,513,821,649.21

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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.