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Finding the Third Proportional to 653,109,655.50 and 1,410,116,391

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Solution

The third proportional to 653,109,655.50 and 1,410,116,391 is: 3,044,554,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,109,655.50 : 1,410,116,391 = 1,410,116,391 : x
  2. Step 2: Convert to fraction form
    653,109,655.50/1,410,116,391 = 1,410,116,391/x
  3. Step 3: Cross multiply
    653,109,655.50x = 1,410,116,391 × 1,410,116,391
  4. Step 4: Simplify right side
    653,109,655.50x = 1,988,428,236,166,864,896
  5. Step 5: Solve for x
    x = 1,988,428,236,166,864,896/653,109,655.50
  6. Step 6: Final answer
    x = 3,044,554,952.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.