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Finding the Third Proportional to 356,071,374 and 759,174,900

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Solution

The third proportional to 356,071,374 and 759,174,900 is: 1,618,626,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,071,374 : 759,174,900 = 759,174,900 : x
  2. Step 2: Convert to fraction form
    356,071,374/759,174,900 = 759,174,900/x
  3. Step 3: Cross multiply
    356,071,374x = 759,174,900 × 759,174,900
  4. Step 4: Simplify right side
    356,071,374x = 576,346,528,790,009,984
  5. Step 5: Solve for x
    x = 576,346,528,790,009,984/356,071,374
  6. Step 6: Final answer
    x = 1,618,626,407.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.