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Finding the Third Proportional to 9,803,952 and 14,376,312

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Solution

The third proportional to 9,803,952 and 14,376,312 is: 21,081,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803,952 : 14,376,312 = 14,376,312 : x
  2. Step 2: Convert to fraction form
    9,803,952/14,376,312 = 14,376,312/x
  3. Step 3: Cross multiply
    9,803,952x = 14,376,312 × 14,376,312
  4. Step 4: Simplify right side
    9,803,952x = 206,678,346,721,344
  5. Step 5: Solve for x
    x = 206,678,346,721,344/9,803,952
  6. Step 6: Final answer
    x = 21,081,125.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.