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Finding the Third Proportional to 4,237,730,292 and 9,898,099,870

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Solution

The third proportional to 4,237,730,292 and 9,898,099,870 is: 23,119,069,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,730,292 : 9,898,099,870 = 9,898,099,870 : x
  2. Step 2: Convert to fraction form
    4,237,730,292/9,898,099,870 = 9,898,099,870/x
  3. Step 3: Cross multiply
    4,237,730,292x = 9,898,099,870 × 9,898,099,870
  4. Step 4: Simplify right side
    4,237,730,292x = 97,972,381,036,494,012,416
  5. Step 5: Solve for x
    x = 97,972,381,036,494,012,416/4,237,730,292
  6. Step 6: Final answer
    x = 23,119,069,474.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.