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Finding the Third Proportional to 606,463,657.31 and 931,602,366.28

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Solution

The third proportional to 606,463,657.31 and 931,602,366.28 is: 1,431,055,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,463,657.31 : 931,602,366.28 = 931,602,366.28 : x
  2. Step 2: Convert to fraction form
    606,463,657.31/931,602,366.28 = 931,602,366.28/x
  3. Step 3: Cross multiply
    606,463,657.31x = 931,602,366.28 × 931,602,366.28
  4. Step 4: Simplify right side
    606,463,657.31x = 867,882,968,860,824,320
  5. Step 5: Solve for x
    x = 867,882,968,860,824,320/606,463,657.31
  6. Step 6: Final answer
    x = 1,431,055,197.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.