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Finding the Third Proportional to 35,877,578,573.81 and 76,872,603,799.69

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Solution

The third proportional to 35,877,578,573.81 and 76,872,603,799.69 is: 164,710,034,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877,578,573.81 : 76,872,603,799.69 = 76,872,603,799.69 : x
  2. Step 2: Convert to fraction form
    35,877,578,573.81/76,872,603,799.69 = 76,872,603,799.69/x
  3. Step 3: Cross multiply
    35,877,578,573.81x = 76,872,603,799.69 × 76,872,603,799.69
  4. Step 4: Simplify right side
    35,877,578,573.81x = 5,909,397,214,944,113,459,200
  5. Step 5: Solve for x
    x = 5,909,397,214,944,113,459,200/35,877,578,573.81
  6. Step 6: Final answer
    x = 164,710,034,786.39

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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.