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Finding the Third Proportional to 909,877,294 and 1,964,739,566

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Solution

The third proportional to 909,877,294 and 1,964,739,566 is: 4,242,551,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,877,294 : 1,964,739,566 = 1,964,739,566 : x
  2. Step 2: Convert to fraction form
    909,877,294/1,964,739,566 = 1,964,739,566/x
  3. Step 3: Cross multiply
    909,877,294x = 1,964,739,566 × 1,964,739,566
  4. Step 4: Simplify right side
    909,877,294x = 3,860,201,562,205,868,544
  5. Step 5: Solve for x
    x = 3,860,201,562,205,868,544/909,877,294
  6. Step 6: Final answer
    x = 4,242,551,811.83

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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.