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Finding the Third Proportional to 1,648,742,898 and 3,555,758,830

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Solution

The third proportional to 1,648,742,898 and 3,555,758,830 is: 7,668,521,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,742,898 : 3,555,758,830 = 3,555,758,830 : x
  2. Step 2: Convert to fraction form
    1,648,742,898/3,555,758,830 = 3,555,758,830/x
  3. Step 3: Cross multiply
    1,648,742,898x = 3,555,758,830 × 3,555,758,830
  4. Step 4: Simplify right side
    1,648,742,898x = 12,643,420,857,122,969,600
  5. Step 5: Solve for x
    x = 12,643,420,857,122,969,600/1,648,742,898
  6. Step 6: Final answer
    x = 7,668,521,800.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.