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Finding the Third Proportional to 1,663,629,312 and 3,604,668,000

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Solution

The third proportional to 1,663,629,312 and 3,604,668,000 is: 7,810,412,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,629,312 : 3,604,668,000 = 3,604,668,000 : x
  2. Step 2: Convert to fraction form
    1,663,629,312/3,604,668,000 = 3,604,668,000/x
  3. Step 3: Cross multiply
    1,663,629,312x = 3,604,668,000 × 3,604,668,000
  4. Step 4: Simplify right side
    1,663,629,312x = 12,993,631,390,223,998,976
  5. Step 5: Solve for x
    x = 12,993,631,390,223,998,976/1,663,629,312
  6. Step 6: Final answer
    x = 7,810,412,630.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.