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Finding the Third Proportional to 531,573,024.75 and 765,751,681.13

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Solution

The third proportional to 531,573,024.75 and 765,751,681.13 is: 1,103,095,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,573,024.75 : 765,751,681.13 = 765,751,681.13 : x
  2. Step 2: Convert to fraction form
    531,573,024.75/765,751,681.13 = 765,751,681.13/x
  3. Step 3: Cross multiply
    531,573,024.75x = 765,751,681.13 × 765,751,681.13
  4. Step 4: Simplify right side
    531,573,024.75x = 586,375,637,145,763,712
  5. Step 5: Solve for x
    x = 586,375,637,145,763,712/531,573,024.75
  6. Step 6: Final answer
    x = 1,103,095,171.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.