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Finding the Third Proportional to 1,988,144,200 and 2,964,975,340

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Solution

The third proportional to 1,988,144,200 and 2,964,975,340 is: 4,421,751,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,144,200 : 2,964,975,340 = 2,964,975,340 : x
  2. Step 2: Convert to fraction form
    1,988,144,200/2,964,975,340 = 2,964,975,340/x
  3. Step 3: Cross multiply
    1,988,144,200x = 2,964,975,340 × 2,964,975,340
  4. Step 4: Simplify right side
    1,988,144,200x = 8,791,078,766,808,115,200
  5. Step 5: Solve for x
    x = 8,791,078,766,808,115,200/1,988,144,200
  6. Step 6: Final answer
    x = 4,421,751,081.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.