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Finding the Third Proportional to 1,918,492,363 and 4,174,807,456

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Solution

The third proportional to 1,918,492,363 and 4,174,807,456 is: 9,084,746,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,492,363 : 4,174,807,456 = 4,174,807,456 : x
  2. Step 2: Convert to fraction form
    1,918,492,363/4,174,807,456 = 4,174,807,456/x
  3. Step 3: Cross multiply
    1,918,492,363x = 4,174,807,456 × 4,174,807,456
  4. Step 4: Simplify right side
    1,918,492,363x = 17,429,017,294,673,190,912
  5. Step 5: Solve for x
    x = 17,429,017,294,673,190,912/1,918,492,363
  6. Step 6: Final answer
    x = 9,084,746,768.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.