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Finding the Third Proportional to 763,492,648 and 1,167,426,089

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Solution

The third proportional to 763,492,648 and 1,167,426,089 is: 1,785,064,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,492,648 : 1,167,426,089 = 1,167,426,089 : x
  2. Step 2: Convert to fraction form
    763,492,648/1,167,426,089 = 1,167,426,089/x
  3. Step 3: Cross multiply
    763,492,648x = 1,167,426,089 × 1,167,426,089
  4. Step 4: Simplify right side
    763,492,648x = 1,362,883,673,277,836,032
  5. Step 5: Solve for x
    x = 1,362,883,673,277,836,032/763,492,648
  6. Step 6: Final answer
    x = 1,785,064,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.