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Finding the Third Proportional to 426,554,087,784 and 917,303,099,088

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Solution

The third proportional to 426,554,087,784 and 917,303,099,088 is: 1,972,657,160,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,554,087,784 : 917,303,099,088 = 917,303,099,088 : x
  2. Step 2: Convert to fraction form
    426,554,087,784/917,303,099,088 = 917,303,099,088/x
  3. Step 3: Cross multiply
    426,554,087,784x = 917,303,099,088 × 917,303,099,088
  4. Step 4: Simplify right side
    426,554,087,784x = 841,444,975,596,449,136,902,144
  5. Step 5: Solve for x
    x = 841,444,975,596,449,136,902,144/426,554,087,784
  6. Step 6: Final answer
    x = 1,972,657,160,473.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.