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Finding the Third Proportional to 8,671,477,529 and 13,798,025,448

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Solution

The third proportional to 8,671,477,529 and 13,798,025,448 is: 21,955,370,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671,477,529 : 13,798,025,448 = 13,798,025,448 : x
  2. Step 2: Convert to fraction form
    8,671,477,529/13,798,025,448 = 13,798,025,448/x
  3. Step 3: Cross multiply
    8,671,477,529x = 13,798,025,448 × 13,798,025,448
  4. Step 4: Simplify right side
    8,671,477,529x = 190,385,506,263,655,612,416
  5. Step 5: Solve for x
    x = 190,385,506,263,655,612,416/8,671,477,529
  6. Step 6: Final answer
    x = 21,955,370,999.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.