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Finding the Third Proportional to 918,792,008 and 1,412,249,196

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Solution

The third proportional to 918,792,008 and 1,412,249,196 is: 2,170,728,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,792,008 : 1,412,249,196 = 1,412,249,196 : x
  2. Step 2: Convert to fraction form
    918,792,008/1,412,249,196 = 1,412,249,196/x
  3. Step 3: Cross multiply
    918,792,008x = 1,412,249,196 × 1,412,249,196
  4. Step 4: Simplify right side
    918,792,008x = 1,994,447,791,602,646,528
  5. Step 5: Solve for x
    x = 1,994,447,791,602,646,528/918,792,008
  6. Step 6: Final answer
    x = 2,170,728,276.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.