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Finding the Third Proportional to 735,921,643.50 and 1,614,832,566.50

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Solution

The third proportional to 735,921,643.50 and 1,614,832,566.50 is: 3,543,426,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,921,643.50 : 1,614,832,566.50 = 1,614,832,566.50 : x
  2. Step 2: Convert to fraction form
    735,921,643.50/1,614,832,566.50 = 1,614,832,566.50/x
  3. Step 3: Cross multiply
    735,921,643.50x = 1,614,832,566.50 × 1,614,832,566.50
  4. Step 4: Simplify right side
    735,921,643.50x = 2,607,684,217,828,977,152
  5. Step 5: Solve for x
    x = 2,607,684,217,828,977,152/735,921,643.50
  6. Step 6: Final answer
    x = 3,543,426,451.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.