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Finding the Third Proportional to 9,945,547 and 15,357,664

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Solution

The third proportional to 9,945,547 and 15,357,664 is: 23,714,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,547 : 15,357,664 = 15,357,664 : x
  2. Step 2: Convert to fraction form
    9,945,547/15,357,664 = 15,357,664/x
  3. Step 3: Cross multiply
    9,945,547x = 15,357,664 × 15,357,664
  4. Step 4: Simplify right side
    9,945,547x = 235,857,843,536,896
  5. Step 5: Solve for x
    x = 235,857,843,536,896/9,945,547
  6. Step 6: Final answer
    x = 23,714,919.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.