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Finding the Third Proportional to 1,000,686,109,564 and 1,409,186,552,935

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Solution

The third proportional to 1,000,686,109,564 and 1,409,186,552,935 is: 1,984,445,194,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,686,109,564 : 1,409,186,552,935 = 1,409,186,552,935 : x
  2. Step 2: Convert to fraction form
    1,000,686,109,564/1,409,186,552,935 = 1,409,186,552,935/x
  3. Step 3: Cross multiply
    1,000,686,109,564x = 1,409,186,552,935 × 1,409,186,552,935
  4. Step 4: Simplify right side
    1,000,686,109,564x = 1,985,806,740,972,827,653,963,776
  5. Step 5: Solve for x
    x = 1,985,806,740,972,827,653,963,776/1,000,686,109,564
  6. Step 6: Final answer
    x = 1,984,445,194,145.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.