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Finding the Third Proportional to 610,368,096 and 1,308,007,104

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Solution

The third proportional to 610,368,096 and 1,308,007,104 is: 2,803,034,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,368,096 : 1,308,007,104 = 1,308,007,104 : x
  2. Step 2: Convert to fraction form
    610,368,096/1,308,007,104 = 1,308,007,104/x
  3. Step 3: Cross multiply
    610,368,096x = 1,308,007,104 × 1,308,007,104
  4. Step 4: Simplify right side
    610,368,096x = 1,710,882,584,114,466,816
  5. Step 5: Solve for x
    x = 1,710,882,584,114,466,816/610,368,096
  6. Step 6: Final answer
    x = 2,803,034,095.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.