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Finding the Third Proportional to 735,367,452 and 1,575,644,576

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Solution

The third proportional to 735,367,452 and 1,575,644,576 is: 3,376,075,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,367,452 : 1,575,644,576 = 1,575,644,576 : x
  2. Step 2: Convert to fraction form
    735,367,452/1,575,644,576 = 1,575,644,576/x
  3. Step 3: Cross multiply
    735,367,452x = 1,575,644,576 × 1,575,644,576
  4. Step 4: Simplify right side
    735,367,452x = 2,482,655,829,878,219,776
  5. Step 5: Solve for x
    x = 2,482,655,829,878,219,776/735,367,452
  6. Step 6: Final answer
    x = 3,376,075,216.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.