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Finding the Third Proportional to 4,688,406,136,062 and 10,155,699,641,898

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Solution

The third proportional to 4,688,406,136,062 and 10,155,699,641,898 is: 21,998,570,990,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688,406,136,062 : 10,155,699,641,898 = 10,155,699,641,898 : x
  2. Step 2: Convert to fraction form
    4,688,406,136,062/10,155,699,641,898 = 10,155,699,641,898/x
  3. Step 3: Cross multiply
    4,688,406,136,062x = 10,155,699,641,898 × 10,155,699,641,898
  4. Step 4: Simplify right side
    4,688,406,136,062x = 103,138,235,216,447,159,891,132,416
  5. Step 5: Solve for x
    x = 103,138,235,216,447,159,891,132,416/4,688,406,136,062
  6. Step 6: Final answer
    x = 21,998,570,990,498.18

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