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Finding the Third Proportional to 977,033,924 and 2,107,118,536

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Solution

The third proportional to 977,033,924 and 2,107,118,536 is: 4,544,313,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,033,924 : 2,107,118,536 = 2,107,118,536 : x
  2. Step 2: Convert to fraction form
    977,033,924/2,107,118,536 = 2,107,118,536/x
  3. Step 3: Cross multiply
    977,033,924x = 2,107,118,536 × 2,107,118,536
  4. Step 4: Simplify right side
    977,033,924x = 4,439,948,524,754,783,232
  5. Step 5: Solve for x
    x = 4,439,948,524,754,783,232/977,033,924
  6. Step 6: Final answer
    x = 4,544,313,575.70

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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.