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Finding the Third Proportional to 389,191,232 and 846,125,248

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Solution

The third proportional to 389,191,232 and 846,125,248 is: 1,839,527,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,191,232 : 846,125,248 = 846,125,248 : x
  2. Step 2: Convert to fraction form
    389,191,232/846,125,248 = 846,125,248/x
  3. Step 3: Cross multiply
    389,191,232x = 846,125,248 × 846,125,248
  4. Step 4: Simplify right side
    389,191,232x = 715,927,935,303,061,504
  5. Step 5: Solve for x
    x = 715,927,935,303,061,504/389,191,232
  6. Step 6: Final answer
    x = 1,839,527,400.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.