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Finding the Third Proportional to 612,943,039,612 and 1,432,111,565,986

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Solution

The third proportional to 612,943,039,612 and 1,432,111,565,986 is: 3,346,058,940,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,943,039,612 : 1,432,111,565,986 = 1,432,111,565,986 : x
  2. Step 2: Convert to fraction form
    612,943,039,612/1,432,111,565,986 = 1,432,111,565,986/x
  3. Step 3: Cross multiply
    612,943,039,612x = 1,432,111,565,986 × 1,432,111,565,986
  4. Step 4: Simplify right side
    612,943,039,612x = 2,050,943,537,430,873,350,602,752
  5. Step 5: Solve for x
    x = 2,050,943,537,430,873,350,602,752/612,943,039,612
  6. Step 6: Final answer
    x = 3,346,058,940,043.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.