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Finding the Third Proportional to 10,160,345 and 15,478,715

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Solution

The third proportional to 10,160,345 and 15,478,715 is: 23,580,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160,345 : 15,478,715 = 15,478,715 : x
  2. Step 2: Convert to fraction form
    10,160,345/15,478,715 = 15,478,715/x
  3. Step 3: Cross multiply
    10,160,345x = 15,478,715 × 15,478,715
  4. Step 4: Simplify right side
    10,160,345x = 239,590,618,051,225
  5. Step 5: Solve for x
    x = 239,590,618,051,225/10,160,345
  6. Step 6: Final answer
    x = 23,580,953.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.