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Finding the Third Proportional to 712,106,608,475 and 960,799,013,575

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Solution

The third proportional to 712,106,608,475 and 960,799,013,575 is: 1,296,343,459,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,106,608,475 : 960,799,013,575 = 960,799,013,575 : x
  2. Step 2: Convert to fraction form
    712,106,608,475/960,799,013,575 = 960,799,013,575/x
  3. Step 3: Cross multiply
    712,106,608,475x = 960,799,013,575 × 960,799,013,575
  4. Step 4: Simplify right side
    712,106,608,475x = 923,134,744,486,693,042,126,848
  5. Step 5: Solve for x
    x = 923,134,744,486,693,042,126,848/712,106,608,475
  6. Step 6: Final answer
    x = 1,296,343,459,673.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.