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Finding the Third Proportional to 341,203,998 and 736,777,364

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Solution

The third proportional to 341,203,998 and 736,777,364 is: 1,590,956,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,203,998 : 736,777,364 = 736,777,364 : x
  2. Step 2: Convert to fraction form
    341,203,998/736,777,364 = 736,777,364/x
  3. Step 3: Cross multiply
    341,203,998x = 736,777,364 × 736,777,364
  4. Step 4: Simplify right side
    341,203,998x = 542,840,884,102,788,480
  5. Step 5: Solve for x
    x = 542,840,884,102,788,480/341,203,998
  6. Step 6: Final answer
    x = 1,590,956,985.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.