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Finding the Third Proportional to 6,235,293,294 and 13,568,249,664

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Solution

The third proportional to 6,235,293,294 and 13,568,249,664 is: 29,525,058,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235,293,294 : 13,568,249,664 = 13,568,249,664 : x
  2. Step 2: Convert to fraction form
    6,235,293,294/13,568,249,664 = 13,568,249,664/x
  3. Step 3: Cross multiply
    6,235,293,294x = 13,568,249,664 × 13,568,249,664
  4. Step 4: Simplify right side
    6,235,293,294x = 184,097,398,944,636,108,800
  5. Step 5: Solve for x
    x = 184,097,398,944,636,108,800/6,235,293,294
  6. Step 6: Final answer
    x = 29,525,058,447.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.