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Finding the Third Proportional to 4,688,406,136,060 and 10,155,699,641,894

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Solution

The third proportional to 4,688,406,136,060 and 10,155,699,641,894 is: 21,998,570,990,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688,406,136,060 : 10,155,699,641,894 = 10,155,699,641,894 : x
  2. Step 2: Convert to fraction form
    4,688,406,136,060/10,155,699,641,894 = 10,155,699,641,894/x
  3. Step 3: Cross multiply
    4,688,406,136,060x = 10,155,699,641,894 × 10,155,699,641,894
  4. Step 4: Simplify right side
    4,688,406,136,060x = 103,138,235,216,365,916,289,761,280
  5. Step 5: Solve for x
    x = 103,138,235,216,365,916,289,761,280/4,688,406,136,060
  6. Step 6: Final answer
    x = 21,998,570,990,490.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.