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Finding the Third Proportional to 977,033,936 and 2,107,118,560

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Solution

The third proportional to 977,033,936 and 2,107,118,560 is: 4,544,313,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,033,936 : 2,107,118,560 = 2,107,118,560 : x
  2. Step 2: Convert to fraction form
    977,033,936/2,107,118,560 = 2,107,118,560/x
  3. Step 3: Cross multiply
    977,033,936x = 2,107,118,560 × 2,107,118,560
  4. Step 4: Simplify right side
    977,033,936x = 4,439,948,625,896,473,600
  5. Step 5: Solve for x
    x = 4,439,948,625,896,473,600/977,033,936
  6. Step 6: Final answer
    x = 4,544,313,623.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.