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Finding the Third Proportional to 676,695,026.25 and 1,076,754,812.63

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Solution

The third proportional to 676,695,026.25 and 1,076,754,812.63 is: 1,713,328,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,695,026.25 : 1,076,754,812.63 = 1,076,754,812.63 : x
  2. Step 2: Convert to fraction form
    676,695,026.25/1,076,754,812.63 = 1,076,754,812.63/x
  3. Step 3: Cross multiply
    676,695,026.25x = 1,076,754,812.63 × 1,076,754,812.63
  4. Step 4: Simplify right side
    676,695,026.25x = 1,159,400,926,511,098,880
  5. Step 5: Solve for x
    x = 1,159,400,926,511,098,880/676,695,026.25
  6. Step 6: Final answer
    x = 1,713,328,577.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.