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Finding the Third Proportional to 13,831,488 and 22,223,430.75

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Solution

The third proportional to 13,831,488 and 22,223,430.75 is: 35,706,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,488 : 22,223,430.75 = 22,223,430.75 : x
  2. Step 2: Convert to fraction form
    13,831,488/22,223,430.75 = 22,223,430.75/x
  3. Step 3: Cross multiply
    13,831,488x = 22,223,430.75 × 22,223,430.75
  4. Step 4: Simplify right side
    13,831,488x = 493,880,874,300,045.56
  5. Step 5: Solve for x
    x = 493,880,874,300,045.56/13,831,488
  6. Step 6: Final answer
    x = 35,706,995.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.