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Finding the Third Proportional to 35,083,434,428 and 75,758,559,856

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Solution

The third proportional to 35,083,434,428 and 75,758,559,856 is: 163,591,720,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083,434,428 : 75,758,559,856 = 75,758,559,856 : x
  2. Step 2: Convert to fraction form
    35,083,434,428/75,758,559,856 = 75,758,559,856/x
  3. Step 3: Cross multiply
    35,083,434,428x = 75,758,559,856 × 75,758,559,856
  4. Step 4: Simplify right side
    35,083,434,428x = 5,739,359,391,455,135,137,792
  5. Step 5: Solve for x
    x = 5,739,359,391,455,135,137,792/35,083,434,428
  6. Step 6: Final answer
    x = 163,591,720,281.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.