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Finding the Third Proportional to 758,591,346 and 1,655,015,448

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Solution

The third proportional to 758,591,346 and 1,655,015,448 is: 3,610,740,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,591,346 : 1,655,015,448 = 1,655,015,448 : x
  2. Step 2: Convert to fraction form
    758,591,346/1,655,015,448 = 1,655,015,448/x
  3. Step 3: Cross multiply
    758,591,346x = 1,655,015,448 × 1,655,015,448
  4. Step 4: Simplify right side
    758,591,346x = 2,739,076,133,118,640,640
  5. Step 5: Solve for x
    x = 2,739,076,133,118,640,640/758,591,346
  6. Step 6: Final answer
    x = 3,610,740,021.70

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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.