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Finding the Third Proportional to 1,079,531,253 and 1,658,580,458.63

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Solution

The third proportional to 1,079,531,253 and 1,658,580,458.63 is: 2,548,225,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,531,253 : 1,658,580,458.63 = 1,658,580,458.63 : x
  2. Step 2: Convert to fraction form
    1,079,531,253/1,658,580,458.63 = 1,658,580,458.63/x
  3. Step 3: Cross multiply
    1,079,531,253x = 1,658,580,458.63 × 1,658,580,458.63
  4. Step 4: Simplify right side
    1,079,531,253x = 2,750,889,137,732,715,520
  5. Step 5: Solve for x
    x = 2,750,889,137,732,715,520/1,079,531,253
  6. Step 6: Final answer
    x = 2,548,225,565.58

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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.