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Finding the Third Proportional to 30,180,642.75 and 65,375,177.63

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Solution

The third proportional to 30,180,642.75 and 65,375,177.63 is: 141,611,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180,642.75 : 65,375,177.63 = 65,375,177.63 : x
  2. Step 2: Convert to fraction form
    30,180,642.75/65,375,177.63 = 65,375,177.63/x
  3. Step 3: Cross multiply
    30,180,642.75x = 65,375,177.63 × 65,375,177.63
  4. Step 4: Simplify right side
    30,180,642.75x = 4,273,913,849,500,300.50
  5. Step 5: Solve for x
    x = 4,273,913,849,500,300.50/30,180,642.75
  6. Step 6: Final answer
    x = 141,611,094.40

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