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Finding the Third Proportional to 563,943,106.50 and 862,124,977.50

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Solution

The third proportional to 563,943,106.50 and 862,124,977.50 is: 1,317,968,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,943,106.50 : 862,124,977.50 = 862,124,977.50 : x
  2. Step 2: Convert to fraction form
    563,943,106.50/862,124,977.50 = 862,124,977.50/x
  3. Step 3: Cross multiply
    563,943,106.50x = 862,124,977.50 × 862,124,977.50
  4. Step 4: Simplify right side
    563,943,106.50x = 743,259,476,829,375,488
  5. Step 5: Solve for x
    x = 743,259,476,829,375,488/563,943,106.50
  6. Step 6: Final answer
    x = 1,317,968,901.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.