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Finding the Third Proportional to 1,849,774,399 and 4,365,136,554

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Solution

The third proportional to 1,849,774,399 and 4,365,136,554 is: 10,300,941,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,774,399 : 4,365,136,554 = 4,365,136,554 : x
  2. Step 2: Convert to fraction form
    1,849,774,399/4,365,136,554 = 4,365,136,554/x
  3. Step 3: Cross multiply
    1,849,774,399x = 4,365,136,554 × 4,365,136,554
  4. Step 4: Simplify right side
    1,849,774,399x = 19,054,417,135,066,996,736
  5. Step 5: Solve for x
    x = 19,054,417,135,066,996,736/1,849,774,399
  6. Step 6: Final answer
    x = 10,300,941,101.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.