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Finding the Third Proportional to 1,065,884,868.50 and 2,376,851,211

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Solution

The third proportional to 1,065,884,868.50 and 2,376,851,211 is: 5,300,217,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,884,868.50 : 2,376,851,211 = 2,376,851,211 : x
  2. Step 2: Convert to fraction form
    1,065,884,868.50/2,376,851,211 = 2,376,851,211/x
  3. Step 3: Cross multiply
    1,065,884,868.50x = 2,376,851,211 × 2,376,851,211
  4. Step 4: Simplify right side
    1,065,884,868.50x = 5,649,421,679,232,166,912
  5. Step 5: Solve for x
    x = 5,649,421,679,232,166,912/1,065,884,868.50
  6. Step 6: Final answer
    x = 5,300,217,543.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.