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Finding the Third Proportional to 182,910,365,462 and 392,286,035,884

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Solution

The third proportional to 182,910,365,462 and 392,286,035,884 is: 841,331,947,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,910,365,462 : 392,286,035,884 = 392,286,035,884 : x
  2. Step 2: Convert to fraction form
    182,910,365,462/392,286,035,884 = 392,286,035,884/x
  3. Step 3: Cross multiply
    182,910,365,462x = 392,286,035,884 × 392,286,035,884
  4. Step 4: Simplify right side
    182,910,365,462x = 153,888,333,949,582,931,132,416
  5. Step 5: Solve for x
    x = 153,888,333,949,582,931,132,416/182,910,365,462
  6. Step 6: Final answer
    x = 841,331,947,267.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.