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Finding the Third Proportional to 1,636,794,368 and 3,507,055,104

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Solution

The third proportional to 1,636,794,368 and 3,507,055,104 is: 7,514,343,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,794,368 : 3,507,055,104 = 3,507,055,104 : x
  2. Step 2: Convert to fraction form
    1,636,794,368/3,507,055,104 = 3,507,055,104/x
  3. Step 3: Cross multiply
    1,636,794,368x = 3,507,055,104 × 3,507,055,104
  4. Step 4: Simplify right side
    1,636,794,368x = 12,299,435,502,492,450,816
  5. Step 5: Solve for x
    x = 12,299,435,502,492,450,816/1,636,794,368
  6. Step 6: Final answer
    x = 7,514,343,733.67

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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.