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Finding the Third Proportional to 4,600,949.06 and 9,968,678.16

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Solution

The third proportional to 4,600,949.06 and 9,968,678.16 is: 21,598,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,949.06 : 9,968,678.16 = 9,968,678.16 : x
  2. Step 2: Convert to fraction form
    4,600,949.06/9,968,678.16 = 9,968,678.16/x
  3. Step 3: Cross multiply
    4,600,949.06x = 9,968,678.16 × 9,968,678.16
  4. Step 4: Simplify right side
    4,600,949.06x = 99,374,544,182,895.91
  5. Step 5: Solve for x
    x = 99,374,544,182,895.91/4,600,949.06
  6. Step 6: Final answer
    x = 21,598,705.58

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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.