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Finding the Third Proportional to 9,223,518,280,356 and 19,210,461,563,466

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Solution

The third proportional to 9,223,518,280,356 and 19,210,461,563,466 is: 40,010,961,355,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,518,280,356 : 19,210,461,563,466 = 19,210,461,563,466 : x
  2. Step 2: Convert to fraction form
    9,223,518,280,356/19,210,461,563,466 = 19,210,461,563,466/x
  3. Step 3: Cross multiply
    9,223,518,280,356x = 19,210,461,563,466 × 19,210,461,563,466
  4. Step 4: Simplify right side
    9,223,518,280,356x = 369,041,833,481,404,564,478,361,600
  5. Step 5: Solve for x
    x = 369,041,833,481,404,564,478,361,600/9,223,518,280,356
  6. Step 6: Final answer
    x = 40,010,961,355,969.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.