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Finding the Third Proportional to 5,098,742,416 and 10,972,325,700

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Solution

The third proportional to 5,098,742,416 and 10,972,325,700 is: 23,612,083,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098,742,416 : 10,972,325,700 = 10,972,325,700 : x
  2. Step 2: Convert to fraction form
    5,098,742,416/10,972,325,700 = 10,972,325,700/x
  3. Step 3: Cross multiply
    5,098,742,416x = 10,972,325,700 × 10,972,325,700
  4. Step 4: Simplify right side
    5,098,742,416x = 120,391,931,266,880,487,424
  5. Step 5: Solve for x
    x = 120,391,931,266,880,487,424/5,098,742,416
  6. Step 6: Final answer
    x = 23,612,083,420.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.