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Finding the Third Proportional to 1,005,620,454 and 2,164,931,057

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Solution

The third proportional to 1,005,620,454 and 2,164,931,057 is: 4,660,731,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,620,454 : 2,164,931,057 = 2,164,931,057 : x
  2. Step 2: Convert to fraction form
    1,005,620,454/2,164,931,057 = 2,164,931,057/x
  3. Step 3: Cross multiply
    1,005,620,454x = 2,164,931,057 × 2,164,931,057
  4. Step 4: Simplify right side
    1,005,620,454x = 4,686,926,481,563,137,024
  5. Step 5: Solve for x
    x = 4,686,926,481,563,137,024/1,005,620,454
  6. Step 6: Final answer
    x = 4,660,731,057.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.