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Finding the Third Proportional to 2,661,899,499 and 4,138,010,806.50

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Solution

The third proportional to 2,661,899,499 and 4,138,010,806.50 is: 6,432,674,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,899,499 : 4,138,010,806.50 = 4,138,010,806.50 : x
  2. Step 2: Convert to fraction form
    2,661,899,499/4,138,010,806.50 = 4,138,010,806.50/x
  3. Step 3: Cross multiply
    2,661,899,499x = 4,138,010,806.50 × 4,138,010,806.50
  4. Step 4: Simplify right side
    2,661,899,499x = 17,123,133,434,710,779,904
  5. Step 5: Solve for x
    x = 17,123,133,434,710,779,904/2,661,899,499
  6. Step 6: Final answer
    x = 6,432,674,652.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.