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Finding the Third Proportional to 453,145,113 and 699,735,296.25

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Solution

The third proportional to 453,145,113 and 699,735,296.25 is: 1,080,513,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,145,113 : 699,735,296.25 = 699,735,296.25 : x
  2. Step 2: Convert to fraction form
    453,145,113/699,735,296.25 = 699,735,296.25/x
  3. Step 3: Cross multiply
    453,145,113x = 699,735,296.25 × 699,735,296.25
  4. Step 4: Simplify right side
    453,145,113x = 489,629,484,818,075,264
  5. Step 5: Solve for x
    x = 489,629,484,818,075,264/453,145,113
  6. Step 6: Final answer
    x = 1,080,513,660.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.