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Finding the Third Proportional to 4,943,111 and 10,685,706

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Solution

The third proportional to 4,943,111 and 10,685,706 is: 23,099,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943,111 : 10,685,706 = 10,685,706 : x
  2. Step 2: Convert to fraction form
    4,943,111/10,685,706 = 10,685,706/x
  3. Step 3: Cross multiply
    4,943,111x = 10,685,706 × 10,685,706
  4. Step 4: Simplify right side
    4,943,111x = 114,184,312,718,436
  5. Step 5: Solve for x
    x = 114,184,312,718,436/4,943,111
  6. Step 6: Final answer
    x = 23,099,686.15

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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.