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Finding the Third Proportional to 30,533,282 and 65,849,536

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Solution

The third proportional to 30,533,282 and 65,849,536 is: 142,014,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533,282 : 65,849,536 = 65,849,536 : x
  2. Step 2: Convert to fraction form
    30,533,282/65,849,536 = 65,849,536/x
  3. Step 3: Cross multiply
    30,533,282x = 65,849,536 × 65,849,536
  4. Step 4: Simplify right side
    30,533,282x = 4,336,161,391,415,296
  5. Step 5: Solve for x
    x = 4,336,161,391,415,296/30,533,282
  6. Step 6: Final answer
    x = 142,014,258.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.