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Finding the Third Proportional to 14,711,840 and 22,833,072

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Solution

The third proportional to 14,711,840 and 22,833,072 is: 35,437,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711,840 : 22,833,072 = 22,833,072 : x
  2. Step 2: Convert to fraction form
    14,711,840/22,833,072 = 22,833,072/x
  3. Step 3: Cross multiply
    14,711,840x = 22,833,072 × 22,833,072
  4. Step 4: Simplify right side
    14,711,840x = 521,349,176,957,184
  5. Step 5: Solve for x
    x = 521,349,176,957,184/14,711,840
  6. Step 6: Final answer
    x = 35,437,387.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.