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Finding the Third Proportional to 532,736,920,242 and 1,243,095,772,252.50

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Solution

The third proportional to 532,736,920,242 and 1,243,095,772,252.50 is: 2,900,657,041,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,736,920,242 : 1,243,095,772,252.50 = 1,243,095,772,252.50 : x
  2. Step 2: Convert to fraction form
    532,736,920,242/1,243,095,772,252.50 = 1,243,095,772,252.50/x
  3. Step 3: Cross multiply
    532,736,920,242x = 1,243,095,772,252.50 × 1,243,095,772,252.50
  4. Step 4: Simplify right side
    532,736,920,242x = 1,545,287,098,992,039,454,310,400
  5. Step 5: Solve for x
    x = 1,545,287,098,992,039,454,310,400/532,736,920,242
  6. Step 6: Final answer
    x = 2,900,657,041,547.04

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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.