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Finding the Third Proportional to 1,159,792,480,045 and 2,352,655,005,614

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Solution

The third proportional to 1,159,792,480,045 and 2,352,655,005,614 is: 4,772,393,053,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,792,480,045 : 2,352,655,005,614 = 2,352,655,005,614 : x
  2. Step 2: Convert to fraction form
    1,159,792,480,045/2,352,655,005,614 = 2,352,655,005,614/x
  3. Step 3: Cross multiply
    1,159,792,480,045x = 2,352,655,005,614 × 2,352,655,005,614
  4. Step 4: Simplify right side
    1,159,792,480,045x = 5,534,985,575,440,610,219,786,240
  5. Step 5: Solve for x
    x = 5,534,985,575,440,610,219,786,240/1,159,792,480,045
  6. Step 6: Final answer
    x = 4,772,393,053,648.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.