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Finding the Third Proportional to 65,990,712 and 99,835,421

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Solution

The third proportional to 65,990,712 and 99,835,421 is: 151,038,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990,712 : 99,835,421 = 99,835,421 : x
  2. Step 2: Convert to fraction form
    65,990,712/99,835,421 = 99,835,421/x
  3. Step 3: Cross multiply
    65,990,712x = 99,835,421 × 99,835,421
  4. Step 4: Simplify right side
    65,990,712x = 9,967,111,286,247,240
  5. Step 5: Solve for x
    x = 9,967,111,286,247,240/65,990,712
  6. Step 6: Final answer
    x = 151,038,092.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.