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Finding the Third Proportional to 21,224,621,808 and 45,430,798,320

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Solution

The third proportional to 21,224,621,808 and 45,430,798,320 is: 97,243,543,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224,621,808 : 45,430,798,320 = 45,430,798,320 : x
  2. Step 2: Convert to fraction form
    21,224,621,808/45,430,798,320 = 45,430,798,320/x
  3. Step 3: Cross multiply
    21,224,621,808x = 45,430,798,320 × 45,430,798,320
  4. Step 4: Simplify right side
    21,224,621,808x = 2,063,957,435,992,514,756,608
  5. Step 5: Solve for x
    x = 2,063,957,435,992,514,756,608/21,224,621,808
  6. Step 6: Final answer
    x = 97,243,543,591.18

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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.