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Finding the Third Proportional to 30,533,280 and 65,849,532

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Solution

The third proportional to 30,533,280 and 65,849,532 is: 142,014,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533,280 : 65,849,532 = 65,849,532 : x
  2. Step 2: Convert to fraction form
    30,533,280/65,849,532 = 65,849,532/x
  3. Step 3: Cross multiply
    30,533,280x = 65,849,532 × 65,849,532
  4. Step 4: Simplify right side
    30,533,280x = 4,336,160,864,619,024
  5. Step 5: Solve for x
    x = 4,336,160,864,619,024/30,533,280
  6. Step 6: Final answer
    x = 142,014,250.18

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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.