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Finding the Third Proportional to 2,965,340,259 and 6,500,385,270

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Solution

The third proportional to 2,965,340,259 and 6,500,385,270 is: 14,249,632,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,340,259 : 6,500,385,270 = 6,500,385,270 : x
  2. Step 2: Convert to fraction form
    2,965,340,259/6,500,385,270 = 6,500,385,270/x
  3. Step 3: Cross multiply
    2,965,340,259x = 6,500,385,270 × 6,500,385,270
  4. Step 4: Simplify right side
    2,965,340,259x = 42,255,008,658,432,974,848
  5. Step 5: Solve for x
    x = 42,255,008,658,432,974,848/2,965,340,259
  6. Step 6: Final answer
    x = 14,249,632,409.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.