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Finding the Third Proportional to 29,820,116 and 65,223,396

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Solution

The third proportional to 29,820,116 and 65,223,396 is: 142,658,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820,116 : 65,223,396 = 65,223,396 : x
  2. Step 2: Convert to fraction form
    29,820,116/65,223,396 = 65,223,396/x
  3. Step 3: Cross multiply
    29,820,116x = 65,223,396 × 65,223,396
  4. Step 4: Simplify right side
    29,820,116x = 4,254,091,385,772,816
  5. Step 5: Solve for x
    x = 4,254,091,385,772,816/29,820,116
  6. Step 6: Final answer
    x = 142,658,445.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.