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Finding the Third Proportional to 301,597,270.31 and 650,830,681.13

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Solution

The third proportional to 301,597,270.31 and 650,830,681.13 is: 1,404,457,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,597,270.31 : 650,830,681.13 = 650,830,681.13 : x
  2. Step 2: Convert to fraction form
    301,597,270.31/650,830,681.13 = 650,830,681.13/x
  3. Step 3: Cross multiply
    301,597,270.31x = 650,830,681.13 × 650,830,681.13
  4. Step 4: Simplify right side
    301,597,270.31x = 423,580,575,493,631,424
  5. Step 5: Solve for x
    x = 423,580,575,493,631,424/301,597,270.31
  6. Step 6: Final answer
    x = 1,404,457,590.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.