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Finding the Third Proportional to 1,263,003,639,792 and 2,727,308,155,488

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Solution

The third proportional to 1,263,003,639,792 and 2,727,308,155,488 is: 5,889,301,931,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,003,639,792 : 2,727,308,155,488 = 2,727,308,155,488 : x
  2. Step 2: Convert to fraction form
    1,263,003,639,792/2,727,308,155,488 = 2,727,308,155,488/x
  3. Step 3: Cross multiply
    1,263,003,639,792x = 2,727,308,155,488 × 2,727,308,155,488
  4. Step 4: Simplify right side
    1,263,003,639,792x = 7,438,209,774,991,357,278,945,280
  5. Step 5: Solve for x
    x = 7,438,209,774,991,357,278,945,280/1,263,003,639,792
  6. Step 6: Final answer
    x = 5,889,301,931,240.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.