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Finding the Third Proportional to 52,549,998.75 and 122,780,508.75

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Solution

The third proportional to 52,549,998.75 and 122,780,508.75 is: 286,870,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,549,998.75 : 122,780,508.75 = 122,780,508.75 : x
  2. Step 2: Convert to fraction form
    52,549,998.75/122,780,508.75 = 122,780,508.75/x
  3. Step 3: Cross multiply
    52,549,998.75x = 122,780,508.75 × 122,780,508.75
  4. Step 4: Simplify right side
    52,549,998.75x = 15,075,053,328,908,826
  5. Step 5: Solve for x
    x = 15,075,053,328,908,826/52,549,998.75
  6. Step 6: Final answer
    x = 286,870,669.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.