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Finding the Third Proportional to 4,646,341 and 9,964,977.50

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Solution

The third proportional to 4,646,341 and 9,964,977.50 is: 21,371,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,341 : 9,964,977.50 = 9,964,977.50 : x
  2. Step 2: Convert to fraction form
    4,646,341/9,964,977.50 = 9,964,977.50/x
  3. Step 3: Cross multiply
    4,646,341x = 9,964,977.50 × 9,964,977.50
  4. Step 4: Simplify right side
    4,646,341x = 99,300,776,575,506.25
  5. Step 5: Solve for x
    x = 99,300,776,575,506.25/4,646,341
  6. Step 6: Final answer
    x = 21,371,822.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.