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Finding the Third Proportional to 6,730,329 and 14,596,278

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Solution

The third proportional to 6,730,329 and 14,596,278 is: 31,655,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730,329 : 14,596,278 = 14,596,278 : x
  2. Step 2: Convert to fraction form
    6,730,329/14,596,278 = 14,596,278/x
  3. Step 3: Cross multiply
    6,730,329x = 14,596,278 × 14,596,278
  4. Step 4: Simplify right side
    6,730,329x = 213,051,331,453,284
  5. Step 5: Solve for x
    x = 213,051,331,453,284/6,730,329
  6. Step 6: Final answer
    x = 31,655,411.12

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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.