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Finding the Third Proportional to 387,085,490,506 and 607,222,914,444

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Solution

The third proportional to 387,085,490,506 and 607,222,914,444 is: 952,553,575,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085,490,506 : 607,222,914,444 = 607,222,914,444 : x
  2. Step 2: Convert to fraction form
    387,085,490,506/607,222,914,444 = 607,222,914,444/x
  3. Step 3: Cross multiply
    387,085,490,506x = 607,222,914,444 × 607,222,914,444
  4. Step 4: Simplify right side
    387,085,490,506x = 368,719,667,825,865,352,282,112
  5. Step 5: Solve for x
    x = 368,719,667,825,865,352,282,112/387,085,490,506
  6. Step 6: Final answer
    x = 952,553,575,035.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.