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Finding the Third Proportional to 4,583,712 and 9,713,832

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Solution

The third proportional to 4,583,712 and 9,713,832 is: 20,585,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,712 : 9,713,832 = 9,713,832 : x
  2. Step 2: Convert to fraction form
    4,583,712/9,713,832 = 9,713,832/x
  3. Step 3: Cross multiply
    4,583,712x = 9,713,832 × 9,713,832
  4. Step 4: Simplify right side
    4,583,712x = 94,358,532,124,224
  5. Step 5: Solve for x
    x = 94,358,532,124,224/4,583,712
  6. Step 6: Final answer
    x = 20,585,615.35

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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.