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Finding the Third Proportional to 1,076,254,409,980 and 1,513,679,817,677

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Solution

The third proportional to 1,076,254,409,980 and 1,513,679,817,677 is: 2,128,889,386,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,254,409,980 : 1,513,679,817,677 = 1,513,679,817,677 : x
  2. Step 2: Convert to fraction form
    1,076,254,409,980/1,513,679,817,677 = 1,513,679,817,677/x
  3. Step 3: Cross multiply
    1,076,254,409,980x = 1,513,679,817,677 × 1,513,679,817,677
  4. Step 4: Simplify right side
    1,076,254,409,980x = 2,291,226,590,442,675,943,505,920
  5. Step 5: Solve for x
    x = 2,291,226,590,442,675,943,505,920/1,076,254,409,980
  6. Step 6: Final answer
    x = 2,128,889,386,372.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.