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Finding the Third Proportional to 1,008,041,205 and 1,581,319,075.50

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Solution

The third proportional to 1,008,041,205 and 1,581,319,075.50 is: 2,480,622,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,041,205 : 1,581,319,075.50 = 1,581,319,075.50 : x
  2. Step 2: Convert to fraction form
    1,008,041,205/1,581,319,075.50 = 1,581,319,075.50/x
  3. Step 3: Cross multiply
    1,008,041,205x = 1,581,319,075.50 × 1,581,319,075.50
  4. Step 4: Simplify right side
    1,008,041,205x = 2,500,570,018,540,174,848
  5. Step 5: Solve for x
    x = 2,500,570,018,540,174,848/1,008,041,205
  6. Step 6: Final answer
    x = 2,480,622,821.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.