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Finding the Third Proportional to 10,927,720 and 16,037,284

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Solution

The third proportional to 10,927,720 and 16,037,284 is: 23,535,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,720 : 16,037,284 = 16,037,284 : x
  2. Step 2: Convert to fraction form
    10,927,720/16,037,284 = 16,037,284/x
  3. Step 3: Cross multiply
    10,927,720x = 16,037,284 × 16,037,284
  4. Step 4: Simplify right side
    10,927,720x = 257,194,478,096,656
  5. Step 5: Solve for x
    x = 257,194,478,096,656/10,927,720
  6. Step 6: Final answer
    x = 23,535,968.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.