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Finding the Third Proportional to 29,472,333,902 and 64,108,525,642

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Solution

The third proportional to 29,472,333,902 and 64,108,525,642 is: 139,449,528,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472,333,902 : 64,108,525,642 = 64,108,525,642 : x
  2. Step 2: Convert to fraction form
    29,472,333,902/64,108,525,642 = 64,108,525,642/x
  3. Step 3: Cross multiply
    29,472,333,902x = 64,108,525,642 × 64,108,525,642
  4. Step 4: Simplify right side
    29,472,333,902x = 4,109,903,059,990,971,678,720
  5. Step 5: Solve for x
    x = 4,109,903,059,990,971,678,720/29,472,333,902
  6. Step 6: Final answer
    x = 139,449,528,281.58

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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.