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Finding the Third Proportional to 60,269,971 and 130,814,468

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Solution

The third proportional to 60,269,971 and 130,814,468 is: 283,929,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,269,971 : 130,814,468 = 130,814,468 : x
  2. Step 2: Convert to fraction form
    60,269,971/130,814,468 = 130,814,468/x
  3. Step 3: Cross multiply
    60,269,971x = 130,814,468 × 130,814,468
  4. Step 4: Simplify right side
    60,269,971x = 17,112,425,038,123,024
  5. Step 5: Solve for x
    x = 17,112,425,038,123,024/60,269,971
  6. Step 6: Final answer
    x = 283,929,538.28

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Why These Related Problems?

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