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Finding the Third Proportional to 907,316,194.50 and 1,401,268,315.50

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Solution

The third proportional to 907,316,194.50 and 1,401,268,315.50 is: 2,164,132,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,316,194.50 : 1,401,268,315.50 = 1,401,268,315.50 : x
  2. Step 2: Convert to fraction form
    907,316,194.50/1,401,268,315.50 = 1,401,268,315.50/x
  3. Step 3: Cross multiply
    907,316,194.50x = 1,401,268,315.50 × 1,401,268,315.50
  4. Step 4: Simplify right side
    907,316,194.50x = 1,963,552,892,024,207,616
  5. Step 5: Solve for x
    x = 1,963,552,892,024,207,616/907,316,194.50
  6. Step 6: Final answer
    x = 2,164,132,971.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.