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Finding the Third Proportional to 185,075,830,740 and 403,008,075,786

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Solution

The third proportional to 185,075,830,740 and 403,008,075,786 is: 877,561,962,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,075,830,740 : 403,008,075,786 = 403,008,075,786 : x
  2. Step 2: Convert to fraction form
    185,075,830,740/403,008,075,786 = 403,008,075,786/x
  3. Step 3: Cross multiply
    185,075,830,740x = 403,008,075,786 × 403,008,075,786
  4. Step 4: Simplify right side
    185,075,830,740x = 162,415,509,148,734,331,027,456
  5. Step 5: Solve for x
    x = 162,415,509,148,734,331,027,456/185,075,830,740
  6. Step 6: Final answer
    x = 877,561,962,031.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.