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Finding the Third Proportional to 4,644,106 and 9,852,457

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Solution

The third proportional to 4,644,106 and 9,852,457 is: 20,901,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,106 : 9,852,457 = 9,852,457 : x
  2. Step 2: Convert to fraction form
    4,644,106/9,852,457 = 9,852,457/x
  3. Step 3: Cross multiply
    4,644,106x = 9,852,457 × 9,852,457
  4. Step 4: Simplify right side
    4,644,106x = 97,070,908,936,849
  5. Step 5: Solve for x
    x = 97,070,908,936,849/4,644,106
  6. Step 6: Final answer
    x = 20,901,958.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.