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Finding the Third Proportional to 242,173,655,368.88 and 518,890,075,635.38

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Solution

The third proportional to 242,173,655,368.88 and 518,890,075,635.38 is: 1,111,792,734,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,173,655,368.88 : 518,890,075,635.38 = 518,890,075,635.38 : x
  2. Step 2: Convert to fraction form
    242,173,655,368.88/518,890,075,635.38 = 518,890,075,635.38/x
  3. Step 3: Cross multiply
    242,173,655,368.88x = 518,890,075,635.38 × 518,890,075,635.38
  4. Step 4: Simplify right side
    242,173,655,368.88x = 269,246,910,592,890,374,717,440
  5. Step 5: Solve for x
    x = 269,246,910,592,890,374,717,440/242,173,655,368.88
  6. Step 6: Final answer
    x = 1,111,792,734,774.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.