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Finding the Third Proportional to 707,979,256,938 and 1,557,173,282,076

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Solution

The third proportional to 707,979,256,938 and 1,557,173,282,076 is: 3,424,943,042,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,979,256,938 : 1,557,173,282,076 = 1,557,173,282,076 : x
  2. Step 2: Convert to fraction form
    707,979,256,938/1,557,173,282,076 = 1,557,173,282,076/x
  3. Step 3: Cross multiply
    707,979,256,938x = 1,557,173,282,076 × 1,557,173,282,076
  4. Step 4: Simplify right side
    707,979,256,938x = 2,424,788,630,411,341,981,548,544
  5. Step 5: Solve for x
    x = 2,424,788,630,411,341,981,548,544/707,979,256,938
  6. Step 6: Final answer
    x = 3,424,943,042,679.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.