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Finding the Third Proportional to 767,712,632 and 1,657,754,992

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Solution

The third proportional to 767,712,632 and 1,657,754,992 is: 3,579,661,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,712,632 : 1,657,754,992 = 1,657,754,992 : x
  2. Step 2: Convert to fraction form
    767,712,632/1,657,754,992 = 1,657,754,992/x
  3. Step 3: Cross multiply
    767,712,632x = 1,657,754,992 × 1,657,754,992
  4. Step 4: Simplify right side
    767,712,632x = 2,748,151,613,500,919,808
  5. Step 5: Solve for x
    x = 2,748,151,613,500,919,808/767,712,632
  6. Step 6: Final answer
    x = 3,579,661,840.84

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