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Finding the Third Proportional to 21,224,619,378 and 45,430,793,352

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Solution

The third proportional to 21,224,619,378 and 45,430,793,352 is: 97,243,533,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224,619,378 : 45,430,793,352 = 45,430,793,352 : x
  2. Step 2: Convert to fraction form
    21,224,619,378/45,430,793,352 = 45,430,793,352/x
  3. Step 3: Cross multiply
    21,224,619,378x = 45,430,793,352 × 45,430,793,352
  4. Step 4: Simplify right side
    21,224,619,378x = 2,063,956,984,592,127,492,096
  5. Step 5: Solve for x
    x = 2,063,956,984,592,127,492,096/21,224,619,378
  6. Step 6: Final answer
    x = 97,243,533,456.79

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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.