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Finding the Third Proportional to 84,535,878,582 and 181,172,812,833

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Solution

The third proportional to 84,535,878,582 and 181,172,812,833 is: 388,279,966,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,535,878,582 : 181,172,812,833 = 181,172,812,833 : x
  2. Step 2: Convert to fraction form
    84,535,878,582/181,172,812,833 = 181,172,812,833/x
  3. Step 3: Cross multiply
    84,535,878,582x = 181,172,812,833 × 181,172,812,833
  4. Step 4: Simplify right side
    84,535,878,582x = 32,823,588,109,821,249,847,296
  5. Step 5: Solve for x
    x = 32,823,588,109,821,249,847,296/84,535,878,582
  6. Step 6: Final answer
    x = 388,279,966,570.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.