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Finding the Third Proportional to 3,070,838,154 and 6,631,000,428

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Solution

The third proportional to 3,070,838,154 and 6,631,000,428 is: 14,318,620,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,838,154 : 6,631,000,428 = 6,631,000,428 : x
  2. Step 2: Convert to fraction form
    3,070,838,154/6,631,000,428 = 6,631,000,428/x
  3. Step 3: Cross multiply
    3,070,838,154x = 6,631,000,428 × 6,631,000,428
  4. Step 4: Simplify right side
    3,070,838,154x = 43,970,166,676,136,181,760
  5. Step 5: Solve for x
    x = 43,970,166,676,136,181,760/3,070,838,154
  6. Step 6: Final answer
    x = 14,318,620,673.27

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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.