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Finding the Third Proportional to 612,319,714.31 and 945,553,538.81

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Solution

The third proportional to 612,319,714.31 and 945,553,538.81 is: 1,460,138,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,319,714.31 : 945,553,538.81 = 945,553,538.81 : x
  2. Step 2: Convert to fraction form
    612,319,714.31/945,553,538.81 = 945,553,538.81/x
  3. Step 3: Cross multiply
    612,319,714.31x = 945,553,538.81 × 945,553,538.81
  4. Step 4: Simplify right side
    612,319,714.31x = 894,071,494,760,841,984
  5. Step 5: Solve for x
    x = 894,071,494,760,841,984/612,319,714.31
  6. Step 6: Final answer
    x = 1,460,138,345.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.