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Finding the Third Proportional to 6,046,354,922 and 13,254,971,311

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Solution

The third proportional to 6,046,354,922 and 13,254,971,311 is: 29,057,881,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,354,922 : 13,254,971,311 = 13,254,971,311 : x
  2. Step 2: Convert to fraction form
    6,046,354,922/13,254,971,311 = 13,254,971,311/x
  3. Step 3: Cross multiply
    6,046,354,922x = 13,254,971,311 × 13,254,971,311
  4. Step 4: Simplify right side
    6,046,354,922x = 175,694,264,455,433,060,352
  5. Step 5: Solve for x
    x = 175,694,264,455,433,060,352/6,046,354,922
  6. Step 6: Final answer
    x = 29,057,881,437.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.