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Finding the Third Proportional to 6,346,390 and 13,952,490

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Solution

The third proportional to 6,346,390 and 13,952,490 is: 30,674,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,390 : 13,952,490 = 13,952,490 : x
  2. Step 2: Convert to fraction form
    6,346,390/13,952,490 = 13,952,490/x
  3. Step 3: Cross multiply
    6,346,390x = 13,952,490 × 13,952,490
  4. Step 4: Simplify right side
    6,346,390x = 194,671,977,200,100
  5. Step 5: Solve for x
    x = 194,671,977,200,100/6,346,390
  6. Step 6: Final answer
    x = 30,674,442.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.