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Finding the Third Proportional to 565,643,271.15 and 882,834,758.48

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Solution

The third proportional to 565,643,271.15 and 882,834,758.48 is: 1,377,895,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,643,271.15 : 882,834,758.48 = 882,834,758.48 : x
  2. Step 2: Convert to fraction form
    565,643,271.15/882,834,758.48 = 882,834,758.48/x
  3. Step 3: Cross multiply
    565,643,271.15x = 882,834,758.48 × 882,834,758.48
  4. Step 4: Simplify right side
    565,643,271.15x = 779,397,210,788,826,880
  5. Step 5: Solve for x
    x = 779,397,210,788,826,880/565,643,271.15
  6. Step 6: Final answer
    x = 1,377,895,310.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.