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Finding the Third Proportional to 37,099,341 and 51,264,265.50

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Solution

The third proportional to 37,099,341 and 51,264,265.50 is: 70,837,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099,341 : 51,264,265.50 = 51,264,265.50 : x
  2. Step 2: Convert to fraction form
    37,099,341/51,264,265.50 = 51,264,265.50/x
  3. Step 3: Cross multiply
    37,099,341x = 51,264,265.50 × 51,264,265.50
  4. Step 4: Simplify right side
    37,099,341x = 2,628,024,917,254,490
  5. Step 5: Solve for x
    x = 2,628,024,917,254,490/37,099,341
  6. Step 6: Final answer
    x = 70,837,509.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.