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Finding the Third Proportional to 612,943,039,614 and 1,432,111,565,991

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Solution

The third proportional to 612,943,039,614 and 1,432,111,565,991 is: 3,346,058,940,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,943,039,614 : 1,432,111,565,991 = 1,432,111,565,991 : x
  2. Step 2: Convert to fraction form
    612,943,039,614/1,432,111,565,991 = 1,432,111,565,991/x
  3. Step 3: Cross multiply
    612,943,039,614x = 1,432,111,565,991 × 1,432,111,565,991
  4. Step 4: Simplify right side
    612,943,039,614x = 2,050,943,537,445,194,382,180,352
  5. Step 5: Solve for x
    x = 2,050,943,537,445,194,382,180,352/612,943,039,614
  6. Step 6: Final answer
    x = 3,346,058,940,055.46

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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.