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Finding the Third Proportional to 2,869,852,761 and 4,103,894,335.50

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Solution

The third proportional to 2,869,852,761 and 4,103,894,335.50 is: 5,868,575,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,852,761 : 4,103,894,335.50 = 4,103,894,335.50 : x
  2. Step 2: Convert to fraction form
    2,869,852,761/4,103,894,335.50 = 4,103,894,335.50/x
  3. Step 3: Cross multiply
    2,869,852,761x = 4,103,894,335.50 × 4,103,894,335.50
  4. Step 4: Simplify right side
    2,869,852,761x = 16,841,948,716,948,985,856
  5. Step 5: Solve for x
    x = 16,841,948,716,948,985,856/2,869,852,761
  6. Step 6: Final answer
    x = 5,868,575,888.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.