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Finding the Third Proportional to 319,045,984.31 and 692,542,801.13

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Solution

The third proportional to 319,045,984.31 and 692,542,801.13 is: 1,503,280,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,045,984.31 : 692,542,801.13 = 692,542,801.13 : x
  2. Step 2: Convert to fraction form
    319,045,984.31/692,542,801.13 = 692,542,801.13/x
  3. Step 3: Cross multiply
    319,045,984.31x = 692,542,801.13 × 692,542,801.13
  4. Step 4: Simplify right side
    319,045,984.31x = 479,615,531,390,061,312
  5. Step 5: Solve for x
    x = 479,615,531,390,061,312/319,045,984.31
  6. Step 6: Final answer
    x = 1,503,280,263.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.