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Finding the Third Proportional to 5,037,357 and 7,570,798.50

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Solution

The third proportional to 5,037,357 and 7,570,798.50 is: 11,378,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037,357 : 7,570,798.50 = 7,570,798.50 : x
  2. Step 2: Convert to fraction form
    5,037,357/7,570,798.50 = 7,570,798.50/x
  3. Step 3: Cross multiply
    5,037,357x = 7,570,798.50 × 7,570,798.50
  4. Step 4: Simplify right side
    5,037,357x = 57,316,989,927,602.25
  5. Step 5: Solve for x
    x = 57,316,989,927,602.25/5,037,357
  6. Step 6: Final answer
    x = 11,378,385.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.