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Finding the Third Proportional to 7,666,883,547 and 11,777,271,930

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Solution

The third proportional to 7,666,883,547 and 11,777,271,930 is: 18,091,331,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,883,547 : 11,777,271,930 = 11,777,271,930 : x
  2. Step 2: Convert to fraction form
    7,666,883,547/11,777,271,930 = 11,777,271,930/x
  3. Step 3: Cross multiply
    7,666,883,547x = 11,777,271,930 × 11,777,271,930
  4. Step 4: Simplify right side
    7,666,883,547x = 138,704,134,113,165,918,208
  5. Step 5: Solve for x
    x = 138,704,134,113,165,918,208/7,666,883,547
  6. Step 6: Final answer
    x = 18,091,331,799.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.