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Finding the Third Proportional to 70,967,569,806.28 and 152,698,682,032.59

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Solution

The third proportional to 70,967,569,806.28 and 152,698,682,032.59 is: 328,556,938,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,967,569,806.28 : 152,698,682,032.59 = 152,698,682,032.59 : x
  2. Step 2: Convert to fraction form
    70,967,569,806.28/152,698,682,032.59 = 152,698,682,032.59/x
  3. Step 3: Cross multiply
    70,967,569,806.28x = 152,698,682,032.59 × 152,698,682,032.59
  4. Step 4: Simplify right side
    70,967,569,806.28x = 23,316,887,494,490,023,002,112
  5. Step 5: Solve for x
    x = 23,316,887,494,490,023,002,112/70,967,569,806.28
  6. Step 6: Final answer
    x = 328,556,938,868.52

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