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Finding the Third Proportional to 1,630,298,688 and 3,444,610,176

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Solution

The third proportional to 1,630,298,688 and 3,444,610,176 is: 7,278,015,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,298,688 : 3,444,610,176 = 3,444,610,176 : x
  2. Step 2: Convert to fraction form
    1,630,298,688/3,444,610,176 = 3,444,610,176/x
  3. Step 3: Cross multiply
    1,630,298,688x = 3,444,610,176 × 3,444,610,176
  4. Step 4: Simplify right side
    1,630,298,688x = 11,865,339,264,602,750,976
  5. Step 5: Solve for x
    x = 11,865,339,264,602,750,976/1,630,298,688
  6. Step 6: Final answer
    x = 7,278,015,588.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.