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Finding the Third Proportional to 74,203,402 and 97,577,142

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Solution

The third proportional to 74,203,402 and 97,577,142 is: 128,313,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203,402 : 97,577,142 = 97,577,142 : x
  2. Step 2: Convert to fraction form
    74,203,402/97,577,142 = 97,577,142/x
  3. Step 3: Cross multiply
    74,203,402x = 97,577,142 × 97,577,142
  4. Step 4: Simplify right side
    74,203,402x = 9,521,298,640,888,164
  5. Step 5: Solve for x
    x = 9,521,298,640,888,164/74,203,402
  6. Step 6: Final answer
    x = 128,313,505.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.