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Finding the Third Proportional to 602,593,884,895 and 1,301,047,362,076

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Solution

The third proportional to 602,593,884,895 and 1,301,047,362,076 is: 2,809,063,086,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,593,884,895 : 1,301,047,362,076 = 1,301,047,362,076 : x
  2. Step 2: Convert to fraction form
    602,593,884,895/1,301,047,362,076 = 1,301,047,362,076/x
  3. Step 3: Cross multiply
    602,593,884,895x = 1,301,047,362,076 × 1,301,047,362,076
  4. Step 4: Simplify right side
    602,593,884,895x = 1,692,724,238,364,918,123,855,872
  5. Step 5: Solve for x
    x = 1,692,724,238,364,918,123,855,872/602,593,884,895
  6. Step 6: Final answer
    x = 2,809,063,086,758.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.