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Finding the Third Proportional to 913,513,602,925.10 and 1,959,638,631,708.40

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Solution

The third proportional to 913,513,602,925.10 and 1,959,638,631,708.40 is: 4,203,750,830,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,513,602,925.10 : 1,959,638,631,708.40 = 1,959,638,631,708.40 : x
  2. Step 2: Convert to fraction form
    913,513,602,925.10/1,959,638,631,708.40 = 1,959,638,631,708.40/x
  3. Step 3: Cross multiply
    913,513,602,925.10x = 1,959,638,631,708.40 × 1,959,638,631,708.40
  4. Step 4: Simplify right side
    913,513,602,925.10x = 3,840,183,566,883,969,912,799,232
  5. Step 5: Solve for x
    x = 3,840,183,566,883,969,912,799,232/913,513,602,925.10
  6. Step 6: Final answer
    x = 4,203,750,830,406.44

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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.