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Finding the Third Proportional to 256,627,026 and 553,316,004

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Solution

The third proportional to 256,627,026 and 553,316,004 is: 1,193,009,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,627,026 : 553,316,004 = 553,316,004 : x
  2. Step 2: Convert to fraction form
    256,627,026/553,316,004 = 553,316,004/x
  3. Step 3: Cross multiply
    256,627,026x = 553,316,004 × 553,316,004
  4. Step 4: Simplify right side
    256,627,026x = 306,158,600,282,528,000
  5. Step 5: Solve for x
    x = 306,158,600,282,528,000/256,627,026
  6. Step 6: Final answer
    x = 1,193,009,968.80

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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.