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Finding the Third Proportional to 475,480,648 and 1,035,373,210

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Solution

The third proportional to 475,480,648 and 1,035,373,210 is: 2,254,555,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,648 : 1,035,373,210 = 1,035,373,210 : x
  2. Step 2: Convert to fraction form
    475,480,648/1,035,373,210 = 1,035,373,210/x
  3. Step 3: Cross multiply
    475,480,648x = 1,035,373,210 × 1,035,373,210
  4. Step 4: Simplify right side
    475,480,648x = 1,071,997,683,985,704,064
  5. Step 5: Solve for x
    x = 1,071,997,683,985,704,064/475,480,648
  6. Step 6: Final answer
    x = 2,254,555,865.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.