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Finding the Third Proportional to 5,154,206 and 7,573,534

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Solution

The third proportional to 5,154,206 and 7,573,534 is: 11,128,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154,206 : 7,573,534 = 7,573,534 : x
  2. Step 2: Convert to fraction form
    5,154,206/7,573,534 = 7,573,534/x
  3. Step 3: Cross multiply
    5,154,206x = 7,573,534 × 7,573,534
  4. Step 4: Simplify right side
    5,154,206x = 57,358,417,249,156
  5. Step 5: Solve for x
    x = 57,358,417,249,156/5,154,206
  6. Step 6: Final answer
    x = 11,128,468.14

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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.