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Finding the Third Proportional to 10,598,073,280,576 and 23,053,038,668,528

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Solution

The third proportional to 10,598,073,280,576 and 23,053,038,668,528 is: 50,145,208,264,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598,073,280,576 : 23,053,038,668,528 = 23,053,038,668,528 : x
  2. Step 2: Convert to fraction form
    10,598,073,280,576/23,053,038,668,528 = 23,053,038,668,528/x
  3. Step 3: Cross multiply
    10,598,073,280,576x = 23,053,038,668,528 × 23,053,038,668,528
  4. Step 4: Simplify right side
    10,598,073,280,576x = 531,442,591,852,647,255,199,711,232
  5. Step 5: Solve for x
    x = 531,442,591,852,647,255,199,711,232/10,598,073,280,576
  6. Step 6: Final answer
    x = 50,145,208,264,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.