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Finding the Third Proportional to 589,482,615,864 and 905,517,414,636

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Solution

The third proportional to 589,482,615,864 and 905,517,414,636 is: 1,390,985,528,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,482,615,864 : 905,517,414,636 = 905,517,414,636 : x
  2. Step 2: Convert to fraction form
    589,482,615,864/905,517,414,636 = 905,517,414,636/x
  3. Step 3: Cross multiply
    589,482,615,864x = 905,517,414,636 × 905,517,414,636
  4. Step 4: Simplify right side
    589,482,615,864x = 819,961,788,209,065,531,277,312
  5. Step 5: Solve for x
    x = 819,961,788,209,065,531,277,312/589,482,615,864
  6. Step 6: Final answer
    x = 1,390,985,528,907.00

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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.