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Finding the Third Proportional to 1,600,756,670 and 3,468,685,360

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Solution

The third proportional to 1,600,756,670 and 3,468,685,360 is: 7,516,306,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,756,670 : 3,468,685,360 = 3,468,685,360 : x
  2. Step 2: Convert to fraction form
    1,600,756,670/3,468,685,360 = 3,468,685,360/x
  3. Step 3: Cross multiply
    1,600,756,670x = 3,468,685,360 × 3,468,685,360
  4. Step 4: Simplify right side
    1,600,756,670x = 12,031,778,126,678,329,344
  5. Step 5: Solve for x
    x = 12,031,778,126,678,329,344/1,600,756,670
  6. Step 6: Final answer
    x = 7,516,306,726.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.