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Finding the Third Proportional to 15,761,830 and 34,038,476

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Solution

The third proportional to 15,761,830 and 34,038,476 is: 73,507,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761,830 : 34,038,476 = 34,038,476 : x
  2. Step 2: Convert to fraction form
    15,761,830/34,038,476 = 34,038,476/x
  3. Step 3: Cross multiply
    15,761,830x = 34,038,476 × 34,038,476
  4. Step 4: Simplify right side
    15,761,830x = 1,158,617,848,402,576
  5. Step 5: Solve for x
    x = 1,158,617,848,402,576/15,761,830
  6. Step 6: Final answer
    x = 73,507,825.45

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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.