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Finding the Third Proportional to 455,911,796 and 1,075,166,701

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Solution

The third proportional to 455,911,796 and 1,075,166,701 is: 2,535,541,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,911,796 : 1,075,166,701 = 1,075,166,701 : x
  2. Step 2: Convert to fraction form
    455,911,796/1,075,166,701 = 1,075,166,701/x
  3. Step 3: Cross multiply
    455,911,796x = 1,075,166,701 × 1,075,166,701
  4. Step 4: Simplify right side
    455,911,796x = 1,155,983,434,939,223,296
  5. Step 5: Solve for x
    x = 1,155,983,434,939,223,296/455,911,796
  6. Step 6: Final answer
    x = 2,535,541,841.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.