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Finding the Third Proportional to 2,637,228,452,411 and 5,712,581,050,357

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Solution

The third proportional to 2,637,228,452,411 and 5,712,581,050,357 is: 12,374,196,185,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637,228,452,411 : 5,712,581,050,357 = 5,712,581,050,357 : x
  2. Step 2: Convert to fraction form
    2,637,228,452,411/5,712,581,050,357 = 5,712,581,050,357/x
  3. Step 3: Cross multiply
    2,637,228,452,411x = 5,712,581,050,357 × 5,712,581,050,357
  4. Step 4: Simplify right side
    2,637,228,452,411x = 32,633,582,256,897,884,698,968,064
  5. Step 5: Solve for x
    x = 32,633,582,256,897,884,698,968,064/2,637,228,452,411
  6. Step 6: Final answer
    x = 12,374,196,185,796.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.