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Finding the Third Proportional to 21,224,621,810 and 45,430,798,324

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Solution

The third proportional to 21,224,621,810 and 45,430,798,324 is: 97,243,543,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224,621,810 : 45,430,798,324 = 45,430,798,324 : x
  2. Step 2: Convert to fraction form
    21,224,621,810/45,430,798,324 = 45,430,798,324/x
  3. Step 3: Cross multiply
    21,224,621,810x = 45,430,798,324 × 45,430,798,324
  4. Step 4: Simplify right side
    21,224,621,810x = 2,063,957,436,355,961,159,680
  5. Step 5: Solve for x
    x = 2,063,957,436,355,961,159,680/21,224,621,810
  6. Step 6: Final answer
    x = 97,243,543,599.14

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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.