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Finding the Third Proportional to 528,193,433,655 and 1,160,151,984,537

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Solution

The third proportional to 528,193,433,655 and 1,160,151,984,537 is: 2,548,219,158,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,193,433,655 : 1,160,151,984,537 = 1,160,151,984,537 : x
  2. Step 2: Convert to fraction form
    528,193,433,655/1,160,151,984,537 = 1,160,151,984,537/x
  3. Step 3: Cross multiply
    528,193,433,655x = 1,160,151,984,537 × 1,160,151,984,537
  4. Step 4: Simplify right side
    528,193,433,655x = 1,345,952,627,225,139,422,953,472
  5. Step 5: Solve for x
    x = 1,345,952,627,225,139,422,953,472/528,193,433,655
  6. Step 6: Final answer
    x = 2,548,219,158,862.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.