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Finding the Third Proportional to 61,406,068 and 127,159,784

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Solution

The third proportional to 61,406,068 and 127,159,784 is: 263,322,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406,068 : 127,159,784 = 127,159,784 : x
  2. Step 2: Convert to fraction form
    61,406,068/127,159,784 = 127,159,784/x
  3. Step 3: Cross multiply
    61,406,068x = 127,159,784 × 127,159,784
  4. Step 4: Simplify right side
    61,406,068x = 16,169,610,666,926,656
  5. Step 5: Solve for x
    x = 16,169,610,666,926,656/61,406,068
  6. Step 6: Final answer
    x = 263,322,684.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.