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Finding the Third Proportional to 470,663,040 and 725,844,096

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Solution

The third proportional to 470,663,040 and 725,844,096 is: 1,119,377,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,663,040 : 725,844,096 = 725,844,096 : x
  2. Step 2: Convert to fraction form
    470,663,040/725,844,096 = 725,844,096/x
  3. Step 3: Cross multiply
    470,663,040x = 725,844,096 × 725,844,096
  4. Step 4: Simplify right side
    470,663,040x = 526,849,651,698,057,216
  5. Step 5: Solve for x
    x = 526,849,651,698,057,216/470,663,040
  6. Step 6: Final answer
    x = 1,119,377,573.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.