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Finding the Third Proportional to 6,473,506 and 13,956,676

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Solution

The third proportional to 6,473,506 and 13,956,676 is: 30,090,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,506 : 13,956,676 = 13,956,676 : x
  2. Step 2: Convert to fraction form
    6,473,506/13,956,676 = 13,956,676/x
  3. Step 3: Cross multiply
    6,473,506x = 13,956,676 × 13,956,676
  4. Step 4: Simplify right side
    6,473,506x = 194,788,804,968,976
  5. Step 5: Solve for x
    x = 194,788,804,968,976/6,473,506
  6. Step 6: Final answer
    x = 30,090,155.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.