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Finding the Third Proportional to 236,583,776 and 514,827,021

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Solution

The third proportional to 236,583,776 and 514,827,021 is: 1,120,308,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,583,776 : 514,827,021 = 514,827,021 : x
  2. Step 2: Convert to fraction form
    236,583,776/514,827,021 = 514,827,021/x
  3. Step 3: Cross multiply
    236,583,776x = 514,827,021 × 514,827,021
  4. Step 4: Simplify right side
    236,583,776x = 265,046,861,551,734,432
  5. Step 5: Solve for x
    x = 265,046,861,551,734,432/236,583,776
  6. Step 6: Final answer
    x = 1,120,308,695.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.