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Finding the Third Proportional to 6,895,981 and 14,632,541

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Solution

The third proportional to 6,895,981 and 14,632,541 is: 31,048,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895,981 : 14,632,541 = 14,632,541 : x
  2. Step 2: Convert to fraction form
    6,895,981/14,632,541 = 14,632,541/x
  3. Step 3: Cross multiply
    6,895,981x = 14,632,541 × 14,632,541
  4. Step 4: Simplify right side
    6,895,981x = 214,111,256,116,681
  5. Step 5: Solve for x
    x = 214,111,256,116,681/6,895,981
  6. Step 6: Final answer
    x = 31,048,701.57

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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.