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Finding the Third Proportional to 626,663,099,430 and 940,657,927,185

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Solution

The third proportional to 626,663,099,430 and 940,657,927,185 is: 1,411,982,509,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,663,099,430 : 940,657,927,185 = 940,657,927,185 : x
  2. Step 2: Convert to fraction form
    626,663,099,430/940,657,927,185 = 940,657,927,185/x
  3. Step 3: Cross multiply
    626,663,099,430x = 940,657,927,185 × 940,657,927,185
  4. Step 4: Simplify right side
    626,663,099,430x = 884,837,335,975,980,815,089,664
  5. Step 5: Solve for x
    x = 884,837,335,975,980,815,089,664/626,663,099,430
  6. Step 6: Final answer
    x = 1,411,982,509,869.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.