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Finding the Third Proportional to 30,341,280 and 65,530,648.50

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Solution

The third proportional to 30,341,280 and 65,530,648.50 is: 141,532,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341,280 : 65,530,648.50 = 65,530,648.50 : x
  2. Step 2: Convert to fraction form
    30,341,280/65,530,648.50 = 65,530,648.50/x
  3. Step 3: Cross multiply
    30,341,280x = 65,530,648.50 × 65,530,648.50
  4. Step 4: Simplify right side
    30,341,280x = 4,294,265,892,830,552
  5. Step 5: Solve for x
    x = 4,294,265,892,830,552/30,341,280
  6. Step 6: Final answer
    x = 141,532,126.95

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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.