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Finding the Third Proportional to 654,845,378,984 and 1,425,000,916,765

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Solution

The third proportional to 654,845,378,984 and 1,425,000,916,765 is: 3,100,926,841,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,845,378,984 : 1,425,000,916,765 = 1,425,000,916,765 : x
  2. Step 2: Convert to fraction form
    654,845,378,984/1,425,000,916,765 = 1,425,000,916,765/x
  3. Step 3: Cross multiply
    654,845,378,984x = 1,425,000,916,765 × 1,425,000,916,765
  4. Step 4: Simplify right side
    654,845,378,984x = 2,030,627,612,781,090,583,871,488
  5. Step 5: Solve for x
    x = 2,030,627,612,781,090,583,871,488/654,845,378,984
  6. Step 6: Final answer
    x = 3,100,926,841,587.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.