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Finding the Third Proportional to 24,242,386,200 and 56,641,152,755

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Solution

The third proportional to 24,242,386,200 and 56,641,152,755 is: 132,339,290,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242,386,200 : 56,641,152,755 = 56,641,152,755 : x
  2. Step 2: Convert to fraction form
    24,242,386,200/56,641,152,755 = 56,641,152,755/x
  3. Step 3: Cross multiply
    24,242,386,200x = 56,641,152,755 × 56,641,152,755
  4. Step 4: Simplify right side
    24,242,386,200x = 3,208,220,185,415,244,054,528
  5. Step 5: Solve for x
    x = 3,208,220,185,415,244,054,528/24,242,386,200
  6. Step 6: Final answer
    x = 132,339,290,321.81

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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.