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Finding the Third Proportional to 15,470,215 and 32,784,557

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Solution

The third proportional to 15,470,215 and 32,784,557 is: 69,477,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470,215 : 32,784,557 = 32,784,557 : x
  2. Step 2: Convert to fraction form
    15,470,215/32,784,557 = 32,784,557/x
  3. Step 3: Cross multiply
    15,470,215x = 32,784,557 × 32,784,557
  4. Step 4: Simplify right side
    15,470,215x = 1,074,827,177,686,249
  5. Step 5: Solve for x
    x = 1,074,827,177,686,249/15,470,215
  6. Step 6: Final answer
    x = 69,477,197.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.