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Finding the Third Proportional to 497,121,520 and 745,682,010

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Solution

The third proportional to 497,121,520 and 745,682,010 is: 1,118,522,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,121,520 : 745,682,010 = 745,682,010 : x
  2. Step 2: Convert to fraction form
    497,121,520/745,682,010 = 745,682,010/x
  3. Step 3: Cross multiply
    497,121,520x = 745,682,010 × 745,682,010
  4. Step 4: Simplify right side
    497,121,520x = 556,041,660,037,640,128
  5. Step 5: Solve for x
    x = 556,041,660,037,640,128/497,121,520
  6. Step 6: Final answer
    x = 1,118,522,610.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.