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Finding the Third Proportional to 612,113,928.33 and 1,311,553,946.53

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Solution

The third proportional to 612,113,928.33 and 1,311,553,946.53 is: 2,810,218,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,113,928.33 : 1,311,553,946.53 = 1,311,553,946.53 : x
  2. Step 2: Convert to fraction form
    612,113,928.33/1,311,553,946.53 = 1,311,553,946.53/x
  3. Step 3: Cross multiply
    612,113,928.33x = 1,311,553,946.53 × 1,311,553,946.53
  4. Step 4: Simplify right side
    612,113,928.33x = 1,720,173,754,661,828,352
  5. Step 5: Solve for x
    x = 1,720,173,754,661,828,352/612,113,928.33
  6. Step 6: Final answer
    x = 2,810,218,286.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.