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Finding the Third Proportional to 435,406,654 and 940,078,028

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Solution

The third proportional to 435,406,654 and 940,078,028 is: 2,029,704,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406,654 : 940,078,028 = 940,078,028 : x
  2. Step 2: Convert to fraction form
    435,406,654/940,078,028 = 940,078,028/x
  3. Step 3: Cross multiply
    435,406,654x = 940,078,028 × 940,078,028
  4. Step 4: Simplify right side
    435,406,654x = 883,746,698,728,368,768
  5. Step 5: Solve for x
    x = 883,746,698,728,368,768/435,406,654
  6. Step 6: Final answer
    x = 2,029,704,164.16

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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.