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Finding the Third Proportional to 11,098,686,388 and 25,897,829,839

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Solution

The third proportional to 11,098,686,388 and 25,897,829,839 is: 60,430,357,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,686,388 : 25,897,829,839 = 25,897,829,839 : x
  2. Step 2: Convert to fraction form
    11,098,686,388/25,897,829,839 = 25,897,829,839/x
  3. Step 3: Cross multiply
    11,098,686,388x = 25,897,829,839 × 25,897,829,839
  4. Step 4: Simplify right side
    11,098,686,388x = 670,697,590,369,798,717,440
  5. Step 5: Solve for x
    x = 670,697,590,369,798,717,440/11,098,686,388
  6. Step 6: Final answer
    x = 60,430,357,875.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.