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Finding the Third Proportional to 2,357,930,463,460 and 3,622,069,658,550

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Solution

The third proportional to 2,357,930,463,460 and 3,622,069,658,550 is: 5,563,942,115,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,930,463,460 : 3,622,069,658,550 = 3,622,069,658,550 : x
  2. Step 2: Convert to fraction form
    2,357,930,463,460/3,622,069,658,550 = 3,622,069,658,550/x
  3. Step 3: Cross multiply
    2,357,930,463,460x = 3,622,069,658,550 × 3,622,069,658,550
  4. Step 4: Simplify right side
    2,357,930,463,460x = 13,119,388,611,388,513,569,472,512
  5. Step 5: Solve for x
    x = 13,119,388,611,388,513,569,472,512/2,357,930,463,460
  6. Step 6: Final answer
    x = 5,563,942,115,636.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.