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Finding the Third Proportional to 64,017,312,687,018 and 86,374,386,112,028

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Solution

The third proportional to 64,017,312,687,018 and 86,374,386,112,028 is: 116,539,327,614,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017,312,687,018 : 86,374,386,112,028 = 86,374,386,112,028 : x
  2. Step 2: Convert to fraction form
    64,017,312,687,018/86,374,386,112,028 = 86,374,386,112,028/x
  3. Step 3: Cross multiply
    64,017,312,687,018x = 86,374,386,112,028 × 86,374,386,112,028
  4. Step 4: Simplify right side
    64,017,312,687,018x = 7,460,534,576,229,694,994,221,367,296
  5. Step 5: Solve for x
    x = 7,460,534,576,229,694,994,221,367,296/64,017,312,687,018
  6. Step 6: Final answer
    x = 116,539,327,614,459.66

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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.