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Finding the Third Proportional to 782,293,632 and 1,657,839,360

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Solution

The third proportional to 782,293,632 and 1,657,839,360 is: 3,513,298,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,293,632 : 1,657,839,360 = 1,657,839,360 : x
  2. Step 2: Convert to fraction form
    782,293,632/1,657,839,360 = 1,657,839,360/x
  3. Step 3: Cross multiply
    782,293,632x = 1,657,839,360 × 1,657,839,360
  4. Step 4: Simplify right side
    782,293,632x = 2,748,431,343,565,209,600
  5. Step 5: Solve for x
    x = 2,748,431,343,565,209,600/782,293,632
  6. Step 6: Final answer
    x = 3,513,298,883.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.