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Finding the Third Proportional to 10,933,133,748 and 16,328,184,840

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Solution

The third proportional to 10,933,133,748 and 16,328,184,840 is: 24,385,471,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933,133,748 : 16,328,184,840 = 16,328,184,840 : x
  2. Step 2: Convert to fraction form
    10,933,133,748/16,328,184,840 = 16,328,184,840/x
  3. Step 3: Cross multiply
    10,933,133,748x = 16,328,184,840 × 16,328,184,840
  4. Step 4: Simplify right side
    10,933,133,748x = 266,609,620,169,205,841,920
  5. Step 5: Solve for x
    x = 266,609,620,169,205,841,920/10,933,133,748
  6. Step 6: Final answer
    x = 24,385,471,385.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.