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Finding the Third Proportional to 373,341,165.75 and 537,774,332.63

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Solution

The third proportional to 373,341,165.75 and 537,774,332.63 is: 774,629,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,341,165.75 : 537,774,332.63 = 537,774,332.63 : x
  2. Step 2: Convert to fraction form
    373,341,165.75/537,774,332.63 = 537,774,332.63/x
  3. Step 3: Cross multiply
    373,341,165.75x = 537,774,332.63 × 537,774,332.63
  4. Step 4: Simplify right side
    373,341,165.75x = 289,201,232,830,264,128
  5. Step 5: Solve for x
    x = 289,201,232,830,264,128/373,341,165.75
  6. Step 6: Final answer
    x = 774,629,907.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.