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Finding the Third Proportional to 854,779,303.50 and 1,277,137,162.50

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Solution

The third proportional to 854,779,303.50 and 1,277,137,162.50 is: 1,908,187,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,779,303.50 : 1,277,137,162.50 = 1,277,137,162.50 : x
  2. Step 2: Convert to fraction form
    854,779,303.50/1,277,137,162.50 = 1,277,137,162.50/x
  3. Step 3: Cross multiply
    854,779,303.50x = 1,277,137,162.50 × 1,277,137,162.50
  4. Step 4: Simplify right side
    854,779,303.50x = 1,631,079,331,838,551,296
  5. Step 5: Solve for x
    x = 1,631,079,331,838,551,296/854,779,303.50
  6. Step 6: Final answer
    x = 1,908,187,675.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.