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Finding the Third Proportional to 65,435,707 and 141,776,729

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Solution

The third proportional to 65,435,707 and 141,776,729 is: 307,181,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,707 : 141,776,729 = 141,776,729 : x
  2. Step 2: Convert to fraction form
    65,435,707/141,776,729 = 141,776,729/x
  3. Step 3: Cross multiply
    65,435,707x = 141,776,729 × 141,776,729
  4. Step 4: Simplify right side
    65,435,707x = 20,100,640,885,939,440
  5. Step 5: Solve for x
    x = 20,100,640,885,939,440/65,435,707
  6. Step 6: Final answer
    x = 307,181,534.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.