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Finding the Third Proportional to 1,076,254,409,970 and 1,513,679,817,663

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Solution

The third proportional to 1,076,254,409,970 and 1,513,679,817,663 is: 2,128,889,386,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,254,409,970 : 1,513,679,817,663 = 1,513,679,817,663 : x
  2. Step 2: Convert to fraction form
    1,076,254,409,970/1,513,679,817,663 = 1,513,679,817,663/x
  3. Step 3: Cross multiply
    1,076,254,409,970x = 1,513,679,817,663 × 1,513,679,817,663
  4. Step 4: Simplify right side
    1,076,254,409,970x = 2,291,226,590,400,292,937,793,536
  5. Step 5: Solve for x
    x = 2,291,226,590,400,292,937,793,536/1,076,254,409,970
  6. Step 6: Final answer
    x = 2,128,889,386,352.58

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