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Finding the Third Proportional to 423,171,985.50 and 653,624,012.25

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Solution

The third proportional to 423,171,985.50 and 653,624,012.25 is: 1,009,576,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,171,985.50 : 653,624,012.25 = 653,624,012.25 : x
  2. Step 2: Convert to fraction form
    423,171,985.50/653,624,012.25 = 653,624,012.25/x
  3. Step 3: Cross multiply
    423,171,985.50x = 653,624,012.25 × 653,624,012.25
  4. Step 4: Simplify right side
    423,171,985.50x = 427,224,349,389,788,160
  5. Step 5: Solve for x
    x = 427,224,349,389,788,160/423,171,985.50
  6. Step 6: Final answer
    x = 1,009,576,162.95

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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.