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Finding the Third Proportional to 575,782,209 and 1,243,312,665.75

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Solution

The third proportional to 575,782,209 and 1,243,312,665.75 is: 2,684,741,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,782,209 : 1,243,312,665.75 = 1,243,312,665.75 : x
  2. Step 2: Convert to fraction form
    575,782,209/1,243,312,665.75 = 1,243,312,665.75/x
  3. Step 3: Cross multiply
    575,782,209x = 1,243,312,665.75 × 1,243,312,665.75
  4. Step 4: Simplify right side
    575,782,209x = 1,545,826,384,814,371,328
  5. Step 5: Solve for x
    x = 1,545,826,384,814,371,328/575,782,209
  6. Step 6: Final answer
    x = 2,684,741,488.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.