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Finding the Third Proportional to 453,658,093.93 and 700,634,152.95

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Solution

The third proportional to 453,658,093.93 and 700,634,152.95 is: 1,082,066,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,658,093.93 : 700,634,152.95 = 700,634,152.95 : x
  2. Step 2: Convert to fraction form
    453,658,093.93/700,634,152.95 = 700,634,152.95/x
  3. Step 3: Cross multiply
    453,658,093.93x = 700,634,152.95 × 700,634,152.95
  4. Step 4: Simplify right side
    453,658,093.93x = 490,888,216,281,645,504
  5. Step 5: Solve for x
    x = 490,888,216,281,645,504/453,658,093.93
  6. Step 6: Final answer
    x = 1,082,066,478.81

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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.