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Finding the Third Proportional to 9,877,148 and 14,842,020

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Solution

The third proportional to 9,877,148 and 14,842,020 is: 22,302,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877,148 : 14,842,020 = 14,842,020 : x
  2. Step 2: Convert to fraction form
    9,877,148/14,842,020 = 14,842,020/x
  3. Step 3: Cross multiply
    9,877,148x = 14,842,020 × 14,842,020
  4. Step 4: Simplify right side
    9,877,148x = 220,285,557,680,400
  5. Step 5: Solve for x
    x = 220,285,557,680,400/9,877,148
  6. Step 6: Final answer
    x = 22,302,547.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.