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Finding the Third Proportional to 5,927,014,512 and 12,798,692,345.25

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Solution

The third proportional to 5,927,014,512 and 12,798,692,345.25 is: 27,637,274,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927,014,512 : 12,798,692,345.25 = 12,798,692,345.25 : x
  2. Step 2: Convert to fraction form
    5,927,014,512/12,798,692,345.25 = 12,798,692,345.25/x
  3. Step 3: Cross multiply
    5,927,014,512x = 12,798,692,345.25 × 12,798,692,345.25
  4. Step 4: Simplify right side
    5,927,014,512x = 163,806,525,748,360,937,472
  5. Step 5: Solve for x
    x = 163,806,525,748,360,937,472/5,927,014,512
  6. Step 6: Final answer
    x = 27,637,274,283.15

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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.