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Finding the Third Proportional to 691,641,255.94 and 1,482,130,537.88

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Solution

The third proportional to 691,641,255.94 and 1,482,130,537.88 is: 3,176,084,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,641,255.94 : 1,482,130,537.88 = 1,482,130,537.88 : x
  2. Step 2: Convert to fraction form
    691,641,255.94/1,482,130,537.88 = 1,482,130,537.88/x
  3. Step 3: Cross multiply
    691,641,255.94x = 1,482,130,537.88 × 1,482,130,537.88
  4. Step 4: Simplify right side
    691,641,255.94x = 2,196,710,931,301,636,864
  5. Step 5: Solve for x
    x = 2,196,710,931,301,636,864/691,641,255.94
  6. Step 6: Final answer
    x = 3,176,084,295.79

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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.