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Finding the Third Proportional to 423,172,015 and 653,624,056

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Solution

The third proportional to 423,172,015 and 653,624,056 is: 1,009,576,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,172,015 : 653,624,056 = 653,624,056 : x
  2. Step 2: Convert to fraction form
    423,172,015/653,624,056 = 653,624,056/x
  3. Step 3: Cross multiply
    423,172,015x = 653,624,056 × 653,624,056
  4. Step 4: Simplify right side
    423,172,015x = 427,224,406,581,891,136
  5. Step 5: Solve for x
    x = 427,224,406,581,891,136/423,172,015
  6. Step 6: Final answer
    x = 1,009,576,227.72

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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.