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Finding the Third Proportional to 1,159,792,480,047 and 2,352,655,005,639

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Solution

The third proportional to 1,159,792,480,047 and 2,352,655,005,639 is: 4,772,393,053,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,792,480,047 : 2,352,655,005,639 = 2,352,655,005,639 : x
  2. Step 2: Convert to fraction form
    1,159,792,480,047/2,352,655,005,639 = 2,352,655,005,639/x
  3. Step 3: Cross multiply
    1,159,792,480,047x = 2,352,655,005,639 × 2,352,655,005,639
  4. Step 4: Simplify right side
    1,159,792,480,047x = 5,534,985,575,558,242,931,572,736
  5. Step 5: Solve for x
    x = 5,534,985,575,558,242,931,572,736/1,159,792,480,047
  6. Step 6: Final answer
    x = 4,772,393,053,741.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.