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Finding the Third Proportional to 2,657,128,709 and 5,708,583,871

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Solution

The third proportional to 2,657,128,709 and 5,708,583,871 is: 12,264,339,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,128,709 : 5,708,583,871 = 5,708,583,871 : x
  2. Step 2: Convert to fraction form
    2,657,128,709/5,708,583,871 = 5,708,583,871/x
  3. Step 3: Cross multiply
    2,657,128,709x = 5,708,583,871 × 5,708,583,871
  4. Step 4: Simplify right side
    2,657,128,709x = 32,587,929,812,241,346,560
  5. Step 5: Solve for x
    x = 32,587,929,812,241,346,560/2,657,128,709
  6. Step 6: Final answer
    x = 12,264,339,962.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.