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Finding the Third Proportional to 532,736,920,292 and 1,243,095,772,340

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Solution

The third proportional to 532,736,920,292 and 1,243,095,772,340 is: 2,900,657,041,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,736,920,292 : 1,243,095,772,340 = 1,243,095,772,340 : x
  2. Step 2: Convert to fraction form
    532,736,920,292/1,243,095,772,340 = 1,243,095,772,340/x
  3. Step 3: Cross multiply
    532,736,920,292x = 1,243,095,772,340 × 1,243,095,772,340
  4. Step 4: Simplify right side
    532,736,920,292x = 1,545,287,099,209,581,158,465,536
  5. Step 5: Solve for x
    x = 1,545,287,099,209,581,158,465,536/532,736,920,292
  6. Step 6: Final answer
    x = 2,900,657,041,683.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.