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Finding the Third Proportional to 3,895,849,660 and 8,343,335,184

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Solution

The third proportional to 3,895,849,660 and 8,343,335,184 is: 17,868,051,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895,849,660 : 8,343,335,184 = 8,343,335,184 : x
  2. Step 2: Convert to fraction form
    3,895,849,660/8,343,335,184 = 8,343,335,184/x
  3. Step 3: Cross multiply
    3,895,849,660x = 8,343,335,184 × 8,343,335,184
  4. Step 4: Simplify right side
    3,895,849,660x = 69,611,241,992,572,313,600
  5. Step 5: Solve for x
    x = 69,611,241,992,572,313,600/3,895,849,660
  6. Step 6: Final answer
    x = 17,868,051,405.40

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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.