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Finding the Third Proportional to 30,724,590 and 65,831,619

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Solution

The third proportional to 30,724,590 and 65,831,619 is: 141,053,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724,590 : 65,831,619 = 65,831,619 : x
  2. Step 2: Convert to fraction form
    30,724,590/65,831,619 = 65,831,619/x
  3. Step 3: Cross multiply
    30,724,590x = 65,831,619 × 65,831,619
  4. Step 4: Simplify right side
    30,724,590x = 4,333,802,060,161,161
  5. Step 5: Solve for x
    x = 4,333,802,060,161,161/30,724,590
  6. Step 6: Final answer
    x = 141,053,210.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.