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Finding the Third Proportional to 29,820,090 and 65,223,348

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Solution

The third proportional to 29,820,090 and 65,223,348 is: 142,658,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820,090 : 65,223,348 = 65,223,348 : x
  2. Step 2: Convert to fraction form
    29,820,090/65,223,348 = 65,223,348/x
  3. Step 3: Cross multiply
    29,820,090x = 65,223,348 × 65,223,348
  4. Step 4: Simplify right side
    29,820,090x = 4,254,085,124,329,104
  5. Step 5: Solve for x
    x = 4,254,085,124,329,104/29,820,090
  6. Step 6: Final answer
    x = 142,658,359.66

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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.