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Finding the Third Proportional to 9,768,465 and 14,360,031

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Solution

The third proportional to 9,768,465 and 14,360,031 is: 21,109,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,465 : 14,360,031 = 14,360,031 : x
  2. Step 2: Convert to fraction form
    9,768,465/14,360,031 = 14,360,031/x
  3. Step 3: Cross multiply
    9,768,465x = 14,360,031 × 14,360,031
  4. Step 4: Simplify right side
    9,768,465x = 206,210,490,320,961
  5. Step 5: Solve for x
    x = 206,210,490,320,961/9,768,465
  6. Step 6: Final answer
    x = 21,109,815.14

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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.