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Finding the Third Proportional to 22,398,195,688 and 47,991,188,118

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Solution

The third proportional to 22,398,195,688 and 47,991,188,118 is: 102,827,663,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398,195,688 : 47,991,188,118 = 47,991,188,118 : x
  2. Step 2: Convert to fraction form
    22,398,195,688/47,991,188,118 = 47,991,188,118/x
  3. Step 3: Cross multiply
    22,398,195,688x = 47,991,188,118 × 47,991,188,118
  4. Step 4: Simplify right side
    22,398,195,688x = 2,303,154,136,977,264,345,088
  5. Step 5: Solve for x
    x = 2,303,154,136,977,264,345,088/22,398,195,688
  6. Step 6: Final answer
    x = 102,827,663,846.66

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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.