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Finding the Third Proportional to 5,736,085,226 and 12,343,866,432

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Solution

The third proportional to 5,736,085,226 and 12,343,866,432 is: 26,563,593,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736,085,226 : 12,343,866,432 = 12,343,866,432 : x
  2. Step 2: Convert to fraction form
    5,736,085,226/12,343,866,432 = 12,343,866,432/x
  3. Step 3: Cross multiply
    5,736,085,226x = 12,343,866,432 × 12,343,866,432
  4. Step 4: Simplify right side
    5,736,085,226x = 152,371,038,491,056,406,528
  5. Step 5: Solve for x
    x = 152,371,038,491,056,406,528/5,736,085,226
  6. Step 6: Final answer
    x = 26,563,593,895.08

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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.