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Finding the Third Proportional to 34,692,450,524 and 46,808,260,732

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Solution

The third proportional to 34,692,450,524 and 46,808,260,732 is: 63,155,333,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692,450,524 : 46,808,260,732 = 46,808,260,732 : x
  2. Step 2: Convert to fraction form
    34,692,450,524/46,808,260,732 = 46,808,260,732/x
  3. Step 3: Cross multiply
    34,692,450,524x = 46,808,260,732 × 46,808,260,732
  4. Step 4: Simplify right side
    34,692,450,524x = 2,191,013,272,754,893,094,912
  5. Step 5: Solve for x
    x = 2,191,013,272,754,893,094,912/34,692,450,524
  6. Step 6: Final answer
    x = 63,155,333,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.