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Finding the Third Proportional to 3,976,211,552 and 6,223,911,312

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Solution

The third proportional to 3,976,211,552 and 6,223,911,312 is: 9,742,205,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976,211,552 : 6,223,911,312 = 6,223,911,312 : x
  2. Step 2: Convert to fraction form
    3,976,211,552/6,223,911,312 = 6,223,911,312/x
  3. Step 3: Cross multiply
    3,976,211,552x = 6,223,911,312 × 6,223,911,312
  4. Step 4: Simplify right side
    3,976,211,552x = 38,737,072,019,641,565,184
  5. Step 5: Solve for x
    x = 38,737,072,019,641,565,184/3,976,211,552
  6. Step 6: Final answer
    x = 9,742,205,995.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.