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Finding the Third Proportional to 65,990,706 and 99,835,411

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Solution

The third proportional to 65,990,706 and 99,835,411 is: 151,038,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990,706 : 99,835,411 = 99,835,411 : x
  2. Step 2: Convert to fraction form
    65,990,706/99,835,411 = 99,835,411/x
  3. Step 3: Cross multiply
    65,990,706x = 99,835,411 × 99,835,411
  4. Step 4: Simplify right side
    65,990,706x = 9,967,109,289,538,920
  5. Step 5: Solve for x
    x = 9,967,109,289,538,920/65,990,706
  6. Step 6: Final answer
    x = 151,038,076.32

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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.