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Finding the Third Proportional to 74,397,546 and 157,645,476

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Solution

The third proportional to 74,397,546 and 157,645,476 is: 334,044,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397,546 : 157,645,476 = 157,645,476 : x
  2. Step 2: Convert to fraction form
    74,397,546/157,645,476 = 157,645,476/x
  3. Step 3: Cross multiply
    74,397,546x = 157,645,476 × 157,645,476
  4. Step 4: Simplify right side
    74,397,546x = 24,852,096,103,266,576
  5. Step 5: Solve for x
    x = 24,852,096,103,266,576/74,397,546
  6. Step 6: Final answer
    x = 334,044,567.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.